2468260944900 has 81 divisors (see below), whose sum is σ = 7736774541951. Its totient is φ = 658190350080.

The previous prime is 2468260944887. The next prime is 2468260944943. The reversal of 2468260944900 is 94490628642.

The square root of 2468260944900 is 1571070.

It is a perfect power (a square), and thus also a powerful number.

2468260944900 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 2 + 60 + 94 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18084332484 + 2450176612416 = 134478^2 + 1565304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47105916 + ... + 47158284.

Almost surely, 2^{2468260944900} is an apocalyptic number.

2468260944900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2468260944900 is the 1571070-th square number.

It is an amenable number.

2468260944900 is an abundant number, since it is smaller than the sum of its proper divisors (5268513597051).

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

2468260944900 is an frugal number, since it uses more digits than its factorization.

2468260944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104758 (or 52379 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2468260944900 in words is "two trillion, four hundred sixty-eight billion, two hundred sixty million, nine hundred forty-four thousand, nine hundred".