2656155240 has 288 divisors, whose sum is σ = 9299745000. Its totient is φ = 681924096.

The previous prime is 2656155233. The next prime is 2656155251. The reversal of 2656155240 is 425516562.

2656155240 is a `hidden beast` number, since 2 + 6 + 5 + 61 + 552 + 40 = 666.

2656155240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2377732644 + 278422596 = 48762^2 + 16686^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2656155195 and 2656155204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7610586 + ... + 7610934.

Almost surely, 2^2656155240 is an apocalyptic number.

2656155240 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 2656155240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649872500).

2656155240 is an abundant number, since it is smaller than the sum of its proper divisors (6643589760).

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

2656155240 is an equidigital number, since it uses as much as digits as its factorization.

2656155240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2656155240 is about 51537.9010049886. The cubic root of 2656155240 is about 1384.8980953491.

The spelling of 2656155240 in words is "two billion, six hundred fifty-six million, one hundred fifty-five thousand, two hundred forty".