2638038012500 has 72 divisors (see below), whose sum is σ = 6294915412128. Its totient is φ = 959286500000.

The previous prime is 2638038012473. The next prime is 2638038012527. The reversal of 2638038012500 is 52108308362.

It is an interprime number because it is at equal distance from previous prime (2638038012473) and next prime (2638038012527).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9455366 + ... + 9730365.

It is an arithmetic number, because the mean of its divisors is an integer number (87429380724).

Almost surely, 2^{2638038012500} is an apocalyptic number.

2638038012500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638038012500 is an abundant number, since it is smaller than the sum of its proper divisors (3656877399628).

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

2638038012500 is a wasteful number, since it uses less digits than its factorization.

2638038012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19185771 (or 19185749 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 2638038012500 in words is "two trillion, six hundred thirty-eight billion, thirty-eight million, twelve thousand, five hundred".