2031878400 has 216 divisors, whose sum is σ = 6780961824. Its totient is φ = 535756800.

The previous prime is 2031878393. The next prime is 2031878413. The reversal of 2031878400 is 48781302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861855 + ... + 1862945.

Almost surely, 2^2031878400 is an apocalyptic number.

2031878400 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 2031878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390480912).

2031878400 is an abundant number, since it is smaller than the sum of its proper divisors (4749083424).

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

2031878400 is a wasteful number, since it uses less digits than its factorization.

2031878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1198 counting only the distinct ones).

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

The square root of 2031878400 is about 45076.3618762650. The cubic root of 2031878400 is about 1266.5798401549.

The spelling of 2031878400 in words is "two billion, thirty-one million, eight hundred seventy-eight thousand, four hundred".