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2094901840 = 245172835443
BaseRepresentation
bin111110011011101…
…1010101001010000
312101222221001002001
41330313122221100
513242243324330
6543513003344
7102625241353
oct17467325120
95358831061
102094901840
11985576839
124a56b3554
132750244b5
1415c32029a
15c3dab9ca
hex7cddaa50

2094901840 has 80 divisors (see below), whose sum is σ = 5176329408. Its totient is φ = 785737728.

The previous prime is 2094901817. The next prime is 2094901841. The reversal of 2094901840 is 481094902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20949018402 = 8777227438470771200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2094901840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2094901841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382159 + ... + 387601.

Almost surely, 22094901840 is an apocalyptic number.

2094901840 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 2094901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588164704).

2094901840 is an abundant number, since it is smaller than the sum of its proper divisors (3081427568).

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

2094901840 is a wasteful number, since it uses less digits than its factorization.

2094901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 2094901840 is about 45770.0976621200. The cubic root of 2094901840 is about 1279.5420399460.

The spelling of 2094901840 in words is "two billion, ninety-four million, nine hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 283 340 566 680 1132 1360 1415 2264 2830 4528 4811 5443 5660 9622 10886 11320 19244 21772 22640 24055 27215 38488 43544 48110 54430 76976 87088 92531 96220 108860 185062 192440 217720 370124 384880 435440 462655 740248 925310 1480496 1540369 1850620 3080738 3701240 6161476 7402480 7701845 12322952 15403690 24645904 26186273 30807380 52372546 61614760 104745092 123229520 130931365 209490184 261862730 418980368 523725460 1047450920 2094901840