2634259968 has 240 divisors, whose sum is σ = 8150478336. Its totient is φ = 848517120.

The previous prime is 2634259951. The next prime is 2634259981. The reversal of 2634259968 is 8699524362.

It is a happy number.

2634259968 is a `hidden beast` number, since 2 + 6 + 3 + 42 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×2634259968² = 13878651158014722048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3856555 + ... + 3857237.

Almost surely, 2^2634259968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2634259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075239168).

2634259968 is an abundant number, since it is smaller than the sum of its proper divisors (5516218368).

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

2634259968 is an frugal number, since it uses more digits than its factorization.

2634259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 719 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2634259968 is about 51325.0423087989. The cubic root of 2634259968 is about 1381.0822512224.

The spelling of 2634259968 in words is "two billion, six hundred thirty-four million, two hundred fifty-nine thousand, nine hundred sixty-eight".