2488073408352 has 384 divisors, whose sum is σ = 8353386961920. Its totient is φ = 705767178240.

The previous prime is 2488073408329. The next prime is 2488073408363. The reversal of 2488073408352 is 2538043708842.

2488073408352 is a `hidden beast` number, since 2 + 48 + 80 + 73 + 408 + 3 + 52 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 666505878 + ... + 666509610.

It is an arithmetic number, because the mean of its divisors is an integer number (21753611880).

Almost surely, 2^{2488073408352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488073408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176693480960).

2488073408352 is an abundant number, since it is smaller than the sum of its proper divisors (5865313553568).

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

2488073408352 is a wasteful number, since it uses less digits than its factorization.

2488073408352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2488073408352 in words is "two trillion, four hundred eighty-eight billion, seventy-three million, four hundred eight thousand, three hundred fifty-two".