2656437120 has 768 divisors, whose sum is σ = 10692864000. Its totient is φ = 627056640.

The previous prime is 2656437107. The next prime is 2656437127. The reversal of 2656437120 is 217346562.

2656437120 is a `hidden beast` number, since 2 + 6 + 5 + 643 + 7 + 1 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656437127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85691505 + ... + 85691535.

It is an arithmetic number, because the mean of its divisors is an integer number (13923000).

Almost surely, 2^2656437120 is an apocalyptic number.

2656437120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2656437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432000).

2656437120 is an abundant number, since it is smaller than the sum of its proper divisors (8036426880).

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

2656437120 is a wasteful number, since it uses less digits than its factorization.

2656437120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2656437120 is about 51540.6356188978. The cubic root of 2656437120 is about 1384.9470836086.

The spelling of 2656437120 in words is "two billion, six hundred fifty-six million, four hundred thirty-seven thousand, one hundred twenty".