2256525140 has 48 divisors (see below), whose sum is σ = 4803188544. Its totient is φ = 890400000.

The previous prime is 2256525127. The next prime is 2256525157. The reversal of 2256525140 is 415256522.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2256525097 and 2256525106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535040 + ... + 539240.

It is an arithmetic number, because the mean of its divisors is an integer number (100066428).

Almost surely, 2^2256525140 is an apocalyptic number.

2256525140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256525140 is an abundant number, since it is smaller than the sum of its proper divisors (2546663404).

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

2256525140 is a wasteful number, since it uses less digits than its factorization.

2256525140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 2256525140 is about 47502.8961222366. The cubic root of 2256525140 is about 1311.6361934043.

The spelling of 2256525140 in words is "two billion, two hundred fifty-six million, five hundred twenty-five thousand, one hundred forty".