2638944000 has 1296 divisors, whose sum is σ = 12759024096. Its totient is φ = 516096000.

The previous prime is 2638943999. The next prime is 2638944043. The reversal of 2638944000 is 4498362.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155231992 + ... + 155232008.

It is an arithmetic number, because the mean of its divisors is an integer number (9844926).

Almost surely, 2^2638944000 is an apocalyptic number.

2638944000 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 2638944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379512048).

2638944000 is an abundant number, since it is smaller than the sum of its proper divisors (10120080096).

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

2638944000 is a wasteful number, since it uses less digits than its factorization.

2638944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2638944000 is about 51370.6531007734. The cubic root of 2638944000 is about 1381.9003434736.

The spelling of 2638944000 in words is "two billion, six hundred thirty-eight million, nine hundred forty-four thousand".