2656506144 has 48 divisors (see below), whose sum is σ = 7037331840. Its totient is φ = 877374720.

The previous prime is 2656506143. The next prime is 2656506179. The reversal of 2656506144 is 4416056562.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2656506143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116472 + ... + 137399.

It is an arithmetic number, because the mean of its divisors is an integer number (146611080).

Almost surely, 2^2656506144 is an apocalyptic number.

2656506144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2656506144 is an abundant number, since it is smaller than the sum of its proper divisors (4380825696).

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

2656506144 is a wasteful number, since it uses less digits than its factorization.

2656506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253993 (or 253985 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2656506144 is about 51541.3052221226. The cubic root of 2656506144 is about 1384.9590788433.

The spelling of 2656506144 in words is "two billion, six hundred fifty-six million, five hundred six thousand, one hundred forty-four".