2538880684032 has 624 divisors, whose sum is σ = 8609246876160. Its totient is φ = 651282677760.

The previous prime is 2538880684001. The next prime is 2538880684061. The reversal of 2538880684032 is 2304860888352.

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 47 ways as a sum of consecutive naturals, for example, 863857219 + ... + 863860157.

Almost surely, 2^{2538880684032} is an apocalyptic number.

2538880684032 is a gapful number since it is divisible by the number (22) 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 2538880684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304623438080).

2538880684032 is an abundant number, since it is smaller than the sum of its proper divisors (6070366192128).

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

2538880684032 is a wasteful number, since it uses less digits than its factorization.

2538880684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 2538880684032 in words is "two trillion, five hundred thirty-eight billion, eight hundred eighty million, six hundred eighty-four thousand, thirty-two".