2412755200 has 216 divisors, whose sum is σ = 6414464448. Its totient is φ = 896163840.

The previous prime is 2412755173. The next prime is 2412755231. The reversal of 2412755200 is 25572142.

2412755200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5446179 + ... + 5446621.

Almost surely, 2^2412755200 is an apocalyptic number.

2412755200 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 2412755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207232224).

2412755200 is an abundant number, since it is smaller than the sum of its proper divisors (4001709248).

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

2412755200 is a wasteful number, since it uses less digits than its factorization.

2412755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2412755200 is about 49119.8045598718. The cubic root of 2412755200 is about 1341.2335859418.

The spelling of 2412755200 in words is "two billion, four hundred twelve million, seven hundred fifty-five thousand, two hundred".