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2440102000 = 2453733557
BaseRepresentation
bin1001000101110001…
…0000000001110000
320022001111000200011
42101130100001300
514444131231000
61042043504304
7114316345000
oct22134200160
96261430604
102440102000
111042412826
12581228094
132cb6b9a4b
141920dc000
15e43482ba
hex91710070

2440102000 has 160 divisors (see below), whose sum is σ = 6882595200. Its totient is φ = 836371200.

The previous prime is 2440101929. The next prime is 2440102069. The reversal of 2440102000 is 2010442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684222 + ... + 687778.

It is an arithmetic number, because the mean of its divisors is an integer number (43016220).

Almost surely, 22440102000 is an apocalyptic number.

2440102000 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 2440102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441297600).

2440102000 is an abundant number, since it is smaller than the sum of its proper divisors (4442493200).

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

2440102000 is an equidigital number, since it uses as much as digits as its factorization.

2440102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2440102000 is about 49397.3885949450. The cubic root of 2440102000 is about 1346.2818585955.

Adding to 2440102000 its reverse (2010442), we get a palindrome (2442112442).

The spelling of 2440102000 in words is "two billion, four hundred forty million, one hundred two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 343 350 392 400 490 500 560 686 700 784 875 980 1000 1225 1372 1400 1715 1750 1960 2000 2450 2744 2800 3430 3500 3557 3920 4900 5488 6125 6860 7000 7114 8575 9800 12250 13720 14000 14228 17150 17785 19600 24500 24899 27440 28456 34300 35570 42875 49000 49798 56912 68600 71140 85750 88925 98000 99596 124495 137200 142280 171500 174293 177850 199192 248990 284560 343000 348586 355700 398384 444625 497980 622475 686000 697172 711400 871465 889250 995960 1220051 1244950 1394344 1422800 1742930 1778500 1991920 2440102 2489900 2788688 3112375 3485860 3557000 4357325 4880204 4979800 6100255 6224750 6971720 7114000 8714650 9760408 9959600 12200510 12449500 13943440 17429300 19520816 21786625 24401020 24899000 30501275 34858600 43573250 48802040 49798000 61002550 69717200 87146500 97604080 122005100 152506375 174293000 244010200 305012750 348586000 488020400 610025500 1220051000 2440102000