2538002831760 has 640 divisors, whose sum is σ = 9739453777920. Its totient is φ = 602310297600.

The previous prime is 2538002831753. The next prime is 2538002831831. The reversal of 2538002831760 is 671382008352.

2538002831760 is a `hidden beast` number, since 2 + 538 + 0 + 0 + 28 + 31 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 259478070 + ... + 259487850.

It is an arithmetic number, because the mean of its divisors is an integer number (15217896528).

Almost surely, 2^{2538002831760} is an apocalyptic number.

2538002831760 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 2538002831760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869726888960).

2538002831760 is an abundant number, since it is smaller than the sum of its proper divisors (7201450946160).

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

2538002831760 is a wasteful number, since it uses less digits than its factorization.

2538002831760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2538002831760 in words is "two trillion, five hundred thirty-eight billion, two million, eight hundred thirty-one thousand, seven hundred sixty".