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2494098000 = 24335346187
BaseRepresentation
bin1001010010101000…
…1110101001010000
320102211002022021000
42110222032221100
520101442114000
61051253102000
7115543324512
oct22452165120
96384068230
102494098000
11106a942819
12597327900
13309943c44
14199355bb2
15e8e62000
hex94a8ea50

2494098000 has 160 divisors (see below), whose sum is σ = 8934606720. Its totient is φ = 665078400.

The previous prime is 2494097987. The next prime is 2494098029. The reversal of 2494098000 is 8904942.

It is a happy number.

2494098000 is a `hidden beast` number, since 249 + 409 + 8 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30907 + ... + 77093.

It is an arithmetic number, because the mean of its divisors is an integer number (55841292).

Almost surely, 22494098000 is an apocalyptic number.

2494098000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2494098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467303360).

2494098000 is an abundant number, since it is smaller than the sum of its proper divisors (6440508720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2494098000 is a wasteful number, since it uses less digits than its factorization.

2494098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46219 (or 46197 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2494098000 is about 49940.9451252176. The cubic root of 2494098000 is about 1356.1399338712.

The spelling of 2494098000 in words is "two billion, four hundred ninety-four million, ninety-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 46187 54000 92374 138561 184748 230935 277122 369496 415683 461870 554244 692805 738992 831366 923740 1108488 1154675 1247049 1385610 1662732 1847480 2078415 2216976 2309350 2494098 2771220 3325464 3464025 3694960 4156830 4618700 4988196 5542440 5773375 6235245 6650928 6928050 8313660 9237400 9976392 10392075 11084880 11546750 12470490 13856100 16627320 17320125 18474800 19952784 20784150 23093500 24940980 27712200 31176225 33254640 34640250 41568300 46187000 49881960 51960375 55424400 62352450 69280500 83136600 92374000 99763920 103920750 124704900 138561000 155881125 166273200 207841500 249409800 277122000 311762250 415683000 498819600 623524500 831366000 1247049000 2494098000