2656131300 has 216 divisors, whose sum is σ = 8525829312. Its totient is φ = 691488000.

The previous prime is 2656131263. The next prime is 2656131311. The reversal of 2656131300 is 31316562.

2656131300 is a `hidden beast` number, since 2 + 656 + 1 + 3 + 1 + 3 + 0 + 0 = 666.

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, 12588195 + ... + 12588405.

It is an arithmetic number, because the mean of its divisors is an integer number (39471432).

Almost surely, 2^2656131300 is an apocalyptic number.

2656131300 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 2656131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262914656).

2656131300 is an abundant number, since it is smaller than the sum of its proper divisors (5869698012).

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

2656131300 is a wasteful number, since it uses less digits than its factorization.

2656131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2656131300 is about 51537.6687482078. The cubic root of 2656131300 is about 1384.8939346285.

Adding to 2656131300 its reverse (31316562), we get a palindrome (2687447862).

It can be divided in two parts, 2656 and 131300, that added together give a square (133956 = 366²).

The spelling of 2656131300 in words is "two billion, six hundred fifty-six million, one hundred thirty-one thousand, three hundred".