2506878400 has 252 divisors, whose sum is σ = 6824301312. Its totient is φ = 905748480.

The previous prime is 2506878389. The next prime is 2506878401. The reversal of 2506878400 is 48786052.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506878401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19739137 + ... + 19739263.

Almost surely, 2^2506878400 is an apocalyptic number.

2506878400 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 2506878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412150656).

2506878400 is an abundant number, since it is smaller than the sum of its proper divisors (4317422912).

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

2506878400 is a wasteful number, since it uses less digits than its factorization.

2506878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 2506878400 is about 50068.7367525884. The cubic root of 2506878400 is about 1358.4523918208.

The spelling of 2506878400 in words is "two billion, five hundred six million, eight hundred seventy-eight thousand, four hundred".