2488040755200 has 4992 divisors, whose sum is σ = 13104761241600. Its totient is φ = 445906944000.

The previous prime is 2488040755177. The next prime is 2488040755223. The reversal of 2488040755200 is 25570408842.

2488040755200 is a `hidden beast` number, since 2 + 4 + 8 + 80 + 40 + 7 + 5 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2488040755177) and next prime (2488040755223).

It is a tau number, because it is divible by the number of its divisors (4992).

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 383 ways as a sum of consecutive naturals, for example, 80259379185 + ... + 80259379215.

Almost surely, 2^{2488040755200} is an apocalyptic number.

2488040755200 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 2488040755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552380620800).

2488040755200 is an abundant number, since it is smaller than the sum of its proper divisors (10616720486400).

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

2488040755200 is a wasteful number, since it uses less digits than its factorization.

2488040755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 2488040755200 in words is "two trillion, four hundred eighty-eight billion, forty million, seven hundred fifty-five thousand, two hundred".