2256757534240 has 96 divisors (see below), whose sum is σ = 5816882320704. Its totient is φ = 820554071040.

The previous prime is 2256757534217. The next prime is 2256757534253. The reversal of 2256757534240 is 424357576522.

It is a happy number.

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, 18378327 + ... + 18500713.

It is an arithmetic number, because the mean of its divisors is an integer number (60592524174).

Almost surely, 2^{2256757534240} is an apocalyptic number.

2256757534240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256757534240 is an abundant number, since it is smaller than the sum of its proper divisors (3560124786464).

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

2256757534240 is a wasteful number, since it uses less digits than its factorization.

2256757534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132890 (or 132882 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 52.

The spelling of 2256757534240 in words is "two trillion, two hundred fifty-six billion, seven hundred fifty-seven million, five hundred thirty-four thousand, two hundred forty".