2638748880 has 320 divisors, whose sum is σ = 9669024000. Its totient is φ = 659570688.

The previous prime is 2638748873. The next prime is 2638748887. The reversal of 2638748880 is 888478362.

2638748880 is a `hidden beast` number, since 2 + 6 + 3 + 87 + 488 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2638748873) and next prime (2638748887).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2638748887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4637236 + ... + 4637804.

It is an arithmetic number, because the mean of its divisors is an integer number (30215700).

Almost surely, 2^2638748880 is an apocalyptic number.

2638748880 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 2638748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834512000).

2638748880 is an abundant number, since it is smaller than the sum of its proper divisors (7030275120).

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

2638748880 is a wasteful number, since it uses less digits than its factorization.

2638748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 2638748880 is about 51368.7539268766. The cubic root of 2638748880 is about 1381.8662840113.

The spelling of 2638748880 in words is "two billion, six hundred thirty-eight million, seven hundred forty-eight thousand, eight hundred eighty".