2634753864 has 64 divisors (see below), whose sum is σ = 7011576000. Its totient is φ = 822666240.

The previous prime is 2634753859. The next prime is 2634753911. The reversal of 2634753864 is 4683574362.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8124 + ... + 73044.

It is an arithmetic number, because the mean of its divisors is an integer number (109555875).

Almost surely, 2^2634753864 is an apocalyptic number.

2634753864 is a gapful number since it is divisible by the number (24) 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 2634753864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505788000).

2634753864 is an abundant number, since it is smaller than the sum of its proper divisors (4376822136).

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

2634753864 is a wasteful number, since it uses less digits than its factorization.

2634753864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65038 (or 65034 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 2634753864 is about 51329.8535357349. The cubic root of 2634753864 is about 1381.1685586209.

The spelling of 2634753864 in words is "two billion, six hundred thirty-four million, seven hundred fifty-three thousand, eight hundred sixty-four".