2475878400 has 432 divisors, whose sum is σ = 9241596000. Its totient is φ = 656916480.

The previous prime is 2475878399. The next prime is 2475878413. The reversal of 2475878400 is 48785742.

2475878400 is a `hidden beast` number, since 24 + 7 + 587 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2475878400² = 12259947703173120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441501 + ... + 12441699.

Almost surely, 2^2475878400 is an apocalyptic number.

2475878400 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 2475878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620798000).

2475878400 is an abundant number, since it is smaller than the sum of its proper divisors (6765717600).

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

2475878400 is an equidigital number, since it uses as much as digits as its factorization.

2475878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2475878400 is about 49758.1993243325. The cubic root of 2475878400 is about 1352.8296204843.

The spelling of 2475878400 in words is "two billion, four hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".