2571878400 has 720 divisors, whose sum is σ = 10921634304. Its totient is φ = 519045120.

The previous prime is 2571878363. The next prime is 2571878411. The reversal of 2571878400 is 48781752.

It is a super-2 number, since 2×2571878400² = 13229117008773120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111820789 + ... + 111820811.

Almost surely, 2^2571878400 is an apocalyptic number.

2571878400 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 2571878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460817152).

2571878400 is an abundant number, since it is smaller than the sum of its proper divisors (8349755904).

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

2571878400 is a wasteful number, since it uses less digits than its factorization.

2571878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2571878400 is about 50713.6904592833. The cubic root of 2571878400 is about 1370.0933035359.

The spelling of 2571878400 in words is "two billion, five hundred seventy-one million, eight hundred seventy-eight thousand, four hundred".