2656152720 has 360 divisors, whose sum is σ = 9812746944. Its totient is φ = 643488768.

The previous prime is 2656152703. The next prime is 2656152727. The reversal of 2656152720 is 272516562.

2656152720 = T₃₆₁ + T₃₆₂ + ... + T₂₅₁₈.

2656152720 is a `hidden beast` number, since 26 + 561 + 5 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2656152727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10099309 + ... + 10099571.

Almost surely, 2^2656152720 is an apocalyptic number.

2656152720 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 2656152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906373472).

2656152720 is an abundant number, since it is smaller than the sum of its proper divisors (7156594224).

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

2656152720 is a wasteful number, since it uses less digits than its factorization.

2656152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2656152720 is about 51537.8765569557. The cubic root of 2656152720 is about 1384.8976573797.

The spelling of 2656152720 in words is "two billion, six hundred fifty-six million, one hundred fifty-two thousand, seven hundred twenty".