2634596640 has 576 divisors, whose sum is σ = 10501021440. Its totient is φ = 596090880.

The previous prime is 2634596623. The next prime is 2634596683. The reversal of 2634596640 is 466954362.

2634596640 is a `hidden beast` number, since 2 + 634 + 5 + 9 + 6 + 6 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12486135 + ... + 12486345.

It is an arithmetic number, because the mean of its divisors is an integer number (18230940).

Almost surely, 2^2634596640 is an apocalyptic number.

2634596640 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 2634596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5250510720).

2634596640 is an abundant number, since it is smaller than the sum of its proper divisors (7866424800).

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

2634596640 is a wasteful number, since it uses less digits than its factorization.

2634596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 2634596640 is about 51328.3220064712. The cubic root of 2634596640 is about 1381.1410851925.

The spelling of 2634596640 in words is "two billion, six hundred thirty-four million, five hundred ninety-six thousand, six hundred forty".