2656054400 has 48 divisors (see below), whose sum is σ = 6561292290. Its totient is φ = 1062420480.

The previous prime is 2656054399. The next prime is 2656054409. The reversal of 2656054400 is 44506562.

It can be written as a sum of positive squares in 3 ways, for example, as 2122629184 + 533425216 = 46072^2 + 23096^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2656054409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411809 + ... + 418208.

Almost surely, 2^2656054400 is an apocalyptic number.

2656054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2656054400 is an abundant number, since it is smaller than the sum of its proper divisors (3905237890).

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

2656054400 is an equidigital number, since it uses as much as digits as its factorization.

2656054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830041 (or 830024 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2656054400 is about 51536.9226865555. The cubic root of 2656054400 is about 1384.8805694042.

The spelling of 2656054400 in words is "two billion, six hundred fifty-six million, fifty-four thousand, four hundred".