2013878400 has 384 divisors, whose sum is σ = 7136001600. Its totient is φ = 497664000.

The previous prime is 2013878333. The next prime is 2013878411. The reversal of 2013878400 is 48783102.

It is a tau number, because it is divible by the number of its divisors (384).

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, 11126310 + ... + 11126490.

Almost surely, 2^2013878400 is an apocalyptic number.

2013878400 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 2013878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568000800).

2013878400 is an abundant number, since it is smaller than the sum of its proper divisors (5122123200).

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

2013878400 is a wasteful number, since it uses less digits than its factorization.

2013878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2013878400 is about 44876.2565283692. The cubic root of 2013878400 is about 1262.8286162183.

The spelling of 2013878400 in words is "two billion, thirteen million, eight hundred seventy-eight thousand, four hundred".