2256142532320 has 48 divisors (see below), whose sum is σ = 5330748438288. Its totient is φ = 902353443840.

The previous prime is 2256142532279. The next prime is 2256142532323. The reversal of 2256142532320 is 232352416522.

It is a super-2 number, since 2×2256142532320² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2256142532320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256142532323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597007 + ... + 2206513.

It is an arithmetic number, because the mean of its divisors is an integer number (111057259131).

Almost surely, 2^{2256142532320} is an apocalyptic number.

2256142532320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256142532320 is an abundant number, since it is smaller than the sum of its proper divisors (3074605905968).

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

2256142532320 is a wasteful number, since it uses less digits than its factorization.

2256142532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618283 (or 1618275 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 2256142532320 its reverse (232352416522), we get a palindrome (2488494948842).

The spelling of 2256142532320 in words is "two trillion, two hundred fifty-six billion, one hundred forty-two million, five hundred thirty-two thousand, three hundred twenty".