2502038764500 has 192 divisors, whose sum is σ = 7972325157888. Its totient is φ = 604721040000.

The previous prime is 2502038764487. The next prime is 2502038764531. The reversal of 2502038764500 is 54678302052.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5232439 + ... + 5690561.

It is an arithmetic number, because the mean of its divisors is an integer number (41522526864).

Almost surely, 2^{2502038764500} is an apocalyptic number.

2502038764500 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 2502038764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986162578944).

2502038764500 is an abundant number, since it is smaller than the sum of its proper divisors (5470286393388).

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

2502038764500 is a wasteful number, since it uses less digits than its factorization.

2502038764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458487 (or 458475 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2502038764500 in words is "two trillion, five hundred two billion, thirty-eight million, seven hundred sixty-four thousand, five hundred".