2656116540 has 288 divisors, whose sum is σ = 10252569600. Its totient is φ = 551779200.

The previous prime is 2656116539. The next prime is 2656116553. The reversal of 2656116540 is 456116562.

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 = 2656116495 and 2656116504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677185 + ... + 681095.

It is an arithmetic number, because the mean of its divisors is an integer number (35599200).

Almost surely, 2^2656116540 is an apocalyptic number.

2656116540 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 2656116540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126284800).

2656116540 is an abundant number, since it is smaller than the sum of its proper divisors (7596453060).

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

2656116540 is a wasteful number, since it uses less digits than its factorization.

2656116540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2656116540 is about 51537.5255517763. The cubic root of 2656116540 is about 1384.8913693596.

The spelling of 2656116540 in words is "two billion, six hundred fifty-six million, one hundred sixteen thousand, five hundred forty".