2656444896 has 288 divisors, whose sum is σ = 9202152960. Its totient is φ = 737911296.

The previous prime is 2656444849. The next prime is 2656444919. The reversal of 2656444896 is 6984446562.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013325 + ... + 2014643.

It is an arithmetic number, because the mean of its divisors is an integer number (31951920).

Almost surely, 2^2656444896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2656444896 is an abundant number, since it is smaller than the sum of its proper divisors (6545708064).

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

2656444896 is a wasteful number, since it uses less digits than its factorization.

2656444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1368 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 2656444896 is about 51540.7110544664. The cubic root of 2656444896 is about 1384.9484349598.

The spelling of 2656444896 in words is "two billion, six hundred fifty-six million, four hundred forty-four thousand, eight hundred ninety-six".