2656731000 has 768 divisors, whose sum is σ = 11063070720. Its totient is φ = 524160000.

The previous prime is 2656730939. The next prime is 2656731013. The reversal of 2656731000 is 1376562.

It is a super-2 number, since 2×2656731000² = 14116439212722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50126974 + ... + 50127026.

It is an arithmetic number, because the mean of its divisors is an integer number (14405040).

Almost surely, 2^2656731000 is an apocalyptic number.

2656731000 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 2656731000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531535360).

2656731000 is an abundant number, since it is smaller than the sum of its proper divisors (8406339720).

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

2656731000 is a wasteful number, since it uses less digits than its factorization.

2656731000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2656731000 is about 51543.4864944156. The cubic root of 2656731000 is about 1384.9981536726.

The spelling of 2656731000 in words is "two billion, six hundred fifty-six million, seven hundred thirty-one thousand".