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2500371072 = 27333831889
BaseRepresentation
bin1001010100001000…
…1010001010000000
320110020220000022000
42111002022022000
520110043333242
61052035344000
7115650542403
oct22502121200
96406800260
102500371072
111073437881
12599452000
1330b02c314
1419a109d3a
15e97a0a4c
hex9508a280

2500371072 has 128 divisors (see below), whose sum is σ = 7402752000. Its totient is φ = 830840832.

The previous prime is 2500371053. The next prime is 2500371077. The reversal of 2500371072 is 2701730052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2500371077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322704 + ... + 1324592.

It is an arithmetic number, because the mean of its divisors is an integer number (57834000).

Almost surely, 22500371072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500371072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

2500371072 is an abundant number, since it is smaller than the sum of its proper divisors (4902380928).

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

2500371072 is a wasteful number, since it uses less digits than its factorization.

2500371072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2500371072 is about 50003.7105823158. The cubic root of 2500371072 is about 1357.2759546003.

The spelling of 2500371072 in words is "two billion, five hundred million, three hundred seventy-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 383 384 432 576 766 864 1149 1152 1532 1728 1889 2298 3064 3447 3456 3778 4596 5667 6128 6894 7556 9192 10341 11334 12256 13788 15112 17001 18384 20682 22668 24512 27576 30224 34002 36768 41364 45336 49024 51003 55152 60448 68004 73536 82728 90672 102006 110304 120896 136008 147072 165456 181344 204012 220608 241792 272016 330912 362688 408024 441216 544032 661824 723487 725376 816048 1088064 1323648 1446974 1632096 2170461 2176128 2893948 3264192 4340922 5787896 6511383 6528384 8681844 11575792 13022766 17363688 19534149 23151584 26045532 34727376 39068298 46303168 52091064 69454752 78136596 92606336 104182128 138909504 156273192 208364256 277819008 312546384 416728512 625092768 833457024 1250185536 2500371072