2505219482400 has 72 divisors (see below), whose sum is σ = 8154489423024. Its totient is φ = 668058528000.

The previous prime is 2505219482399. The next prime is 2505219482417. The reversal of 2505219482400 is 42849125052.

It is a super-2 number, since 2×2505219482400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 521918326 + ... + 521923125.

It is an arithmetic number, because the mean of its divisors is an integer number (113256797542).

Almost surely, 2^{2505219482400} is an apocalyptic number.

2505219482400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505219482400 is an abundant number, since it is smaller than the sum of its proper divisors (5649269940624).

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

2505219482400 is a wasteful number, since it uses less digits than its factorization.

2505219482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043841474 (or 1043841461 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 2505219482400 in words is "two trillion, five hundred five billion, two hundred nineteen million, four hundred eighty-two thousand, four hundred".