2634264720 has 320 divisors, whose sum is σ = 9352972800. Its totient is φ = 681246720.

The previous prime is 2634264697. The next prime is 2634264739. The reversal of 2634264720 is 274624362.

2634264720 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 2 + 647 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13648944 + ... + 13649136.

It is an arithmetic number, because the mean of its divisors is an integer number (29228040).

Almost surely, 2^2634264720 is an apocalyptic number.

2634264720 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 2634264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676486400).

2634264720 is an abundant number, since it is smaller than the sum of its proper divisors (6718708080).

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

2634264720 is a wasteful number, since it uses less digits than its factorization.

2634264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2634264720 is about 51325.0886019693. The cubic root of 2634264720 is about 1381.0830816769.

The spelling of 2634264720 in words is "two billion, six hundred thirty-four million, two hundred sixty-four thousand, seven hundred twenty".