2638738944 has 240 divisors, whose sum is σ = 8007487488. Its totient is φ = 867428352.

The previous prime is 2638738933. The next prime is 2638739021. The reversal of 2638738944 is 4498378362.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 15800749 + ... + 15800915.

Almost surely, 2^2638738944 is an apocalyptic number.

2638738944 is a gapful number since it is divisible by the number (24) 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 2638738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744).

2638738944 is an abundant number, since it is smaller than the sum of its proper divisors (5368748544).

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

2638738944 is an equidigital number, since it uses as much as digits as its factorization.

2638738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 299 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2638738944 is about 51368.6572142975. The cubic root of 2638738944 is about 1381.8645495731.

The spelling of 2638738944 in words is "two billion, six hundred thirty-eight million, seven hundred thirty-eight thousand, nine hundred forty-four".