2468776400 has 60 divisors (see below), whose sum is σ = 6243424800. Its totient is φ = 935533440.

The previous prime is 2468776399. The next prime is 2468776451. The reversal of 2468776400 is 46778642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154820 + ... + 170019.

It is an arithmetic number, because the mean of its divisors is an integer number (104057080).

Almost surely, 2^2468776400 is an apocalyptic number.

2468776400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468776400 is an abundant number, since it is smaller than the sum of its proper divisors (3774648400).

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

2468776400 is a wasteful number, since it uses less digits than its factorization.

2468776400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324876 (or 324865 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 2468776400 is about 49686.7829508009. The cubic root of 2468776400 is about 1351.5348615262.

The spelling of 2468776400 in words is "two billion, four hundred sixty-eight million, seven hundred seventy-six thousand, four hundred".