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2580064974 = 234234116889
BaseRepresentation
bin1001100111001000…
…1010101011001110
320122210211212210000
42121302022223032
520240444034344
61104003425130
7120636122214
oct23162125316
96583755700
102580064974
11110441a003
126000851a6
133216b3286
141a6932cb4
15101793a69
hex99c8aace

2580064974 has 80 divisors (see below), whose sum is σ = 6180118560. Its totient is φ = 802517760.

The previous prime is 2580064969. The next prime is 2580065017. The reversal of 2580064974 is 4794600852.

It is a happy number.

2580064974 is a `hidden beast` number, since 2 + 580 + 0 + 64 + 9 + 7 + 4 = 666.

2580064974 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144322 + ... + 161210.

It is an arithmetic number, because the mean of its divisors is an integer number (77251482).

Almost surely, 22580064974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2580064974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090059280).

2580064974 is an abundant number, since it is smaller than the sum of its proper divisors (3600053586).

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

2580064974 is a wasteful number, since it uses less digits than its factorization.

2580064974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16967 (or 16958 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2580064974 is about 50794.3399799623. The cubic root of 2580064974 is about 1371.5454834204.

The spelling of 2580064974 in words is "two billion, five hundred eighty million, sixty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 246 369 414 621 738 943 1107 1242 1863 1886 2214 2829 3321 3726 5658 6642 8487 16889 16974 25461 33778 50667 50922 76383 101334 152001 152766 304002 388447 456003 692449 776894 912006 1165341 1368009 1384898 2077347 2330682 2736018 3496023 4154694 6232041 6992046 10488069 12464082 15926327 18696123 20976138 31464207 31852654 37392246 47778981 56088369 62928414 95557962 112176738 143336943 286673886 430010829 860021658 1290032487 2580064974