2638727040 has 128 divisors (see below), whose sum is σ = 8434951200. Its totient is φ = 701652992.

The previous prime is 2638727017. The next prime is 2638727051. The reversal of 2638727040 is 407278362.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2638727040.

It is a congruent number.

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, 745114 + ... + 748646.

Almost surely, 2^2638727040 is an apocalyptic number.

2638727040 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 2638727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217475600).

2638727040 is an abundant number, since it is smaller than the sum of its proper divisors (5796224160).

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

2638727040 is a wasteful number, since it uses less digits than its factorization.

2638727040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2638727040 is about 51368.5413458471. The cubic root of 2638727040 is about 1381.8624715931.

The spelling of 2638727040 in words is "two billion, six hundred thirty-eight million, seven hundred twenty-seven thousand, forty".