2256270640200 has 144 divisors (see below), whose sum is σ = 7577780355600. Its totient is φ = 601634736000.

The previous prime is 2256270640177. The next prime is 2256270640207. The reversal of 2256270640200 is 20460726522.

2256270640200 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 2 + 7 + 0 + 640 + 2 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2256270640207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40744131 + ... + 40799469.

Almost surely, 2^{2256270640200} is an apocalyptic number.

2256270640200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2256270640200 is an abundant number, since it is smaller than the sum of its proper divisors (5321509715400).

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

2256270640200 is a wasteful number, since it uses less digits than its factorization.

2256270640200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78012 (or 78000 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2256270640200 in words is "two trillion, two hundred fifty-six billion, two hundred seventy million, six hundred forty thousand, two hundred".