2638224000 has 512 divisors, whose sum is σ = 10081843200. Its totient is φ = 677376000.

The previous prime is 2638223977. The next prime is 2638224011. The reversal of 2638224000 is 4228362.

2638224000 is a `hidden beast` number, since 2 + 638 + 2 + 24 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13391902 + ... + 13392098.

It is an arithmetic number, because the mean of its divisors is an integer number (19691100).

Almost surely, 2^2638224000 is an apocalyptic number.

2638224000 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 2638224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040921600).

2638224000 is an abundant number, since it is smaller than the sum of its proper divisors (7443619200).

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

2638224000 is a wasteful number, since it uses less digits than its factorization.

2638224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2638224000 is about 51363.6447304901. The cubic root of 2638224000 is about 1381.7746544671.

The spelling of 2638224000 in words is "two billion, six hundred thirty-eight million, two hundred twenty-four thousand".