2632742640 has 120 divisors (see below), whose sum is σ = 9645440688. Its totient is φ = 638238720.

The previous prime is 2632742627. The next prime is 2632742681. The reversal of 2632742640 is 462472362.

2632742640 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 7 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 2632742595 and 2632742604.

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, 158289 + ... + 174128.

Almost surely, 2^2632742640 is an apocalyptic number.

2632742640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2632742640 is an abundant number, since it is smaller than the sum of its proper divisors (7012698048).

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

2632742640 is a wasteful number, since it uses less digits than its factorization.

2632742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332447 (or 332438 counting only the distinct ones).

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

The square root of 2632742640 is about 51310.2586233981. The cubic root of 2632742640 is about 1380.8170335055.

The spelling of 2632742640 in words is "two billion, six hundred thirty-two million, seven hundred forty-two thousand, six hundred forty".