2638008000 has 672 divisors, whose sum is σ = 10384657920. Its totient is φ = 661478400.

The previous prime is 2638007993. The next prime is 2638008011. The reversal of 2638008000 is 8008362.

2638008000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 44711971 + ... + 44712029.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 2^2638008000 is an apocalyptic number.

2638008000 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 2638008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192328960).

2638008000 is an abundant number, since it is smaller than the sum of its proper divisors (7746649920).

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

2638008000 is an equidigital number, since it uses as much as digits as its factorization.

2638008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2638008000 is about 51361.5420329258. The cubic root of 2638008000 is about 1381.7369433059.

The spelling of 2638008000 in words is "two billion, six hundred thirty-eight million, eight thousand".