2365125264 has 80 divisors (see below), whose sum is σ = 6823491840. Its totient is φ = 784344960.

The previous prime is 2365125251. The next prime is 2365125283. The reversal of 2365125264 is 4625215632.

2365125264 is a `hidden beast` number, since 2 + 36 + 512 + 52 + 64 = 666.

It is a super-2 number, since 2×2365125264² = 11187635028822139392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71209 + ... + 98999.

It is an arithmetic number, because the mean of its divisors is an integer number (85293648).

Almost surely, 2^2365125264 is an apocalyptic number.

2365125264 is a gapful number since it is divisible by the number (24) 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 2365125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411745920).

2365125264 is an abundant number, since it is smaller than the sum of its proper divisors (4458366576).

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

2365125264 is a wasteful number, since it uses less digits than its factorization.

2365125264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28005 (or 27993 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2365125264 is about 48632.5535418407. The cubic root of 2365125264 is about 1332.3491496044.

The spelling of 2365125264 in words is "two billion, three hundred sixty-five million, one hundred twenty-five thousand, two hundred sixty-four".