2212372800 has 252 divisors, whose sum is σ = 8578754496. Its totient is φ = 536294400.

The previous prime is 2212372777. The next prime is 2212372807. The reversal of 2212372800 is 82732122.

It is a happy number.

2212372800 is a `hidden beast` number, since 2 + 212 + 372 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212372807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151417 + ... + 165383.

Almost surely, 2^2212372800 is an apocalyptic number.

2212372800 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 2212372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289377248).

2212372800 is an abundant number, since it is smaller than the sum of its proper divisors (6366381696).

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

2212372800 is a wasteful number, since it uses less digits than its factorization.

2212372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14006 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2212372800 is about 47035.8671653877. The cubic root of 2212372800 is about 1303.0250657453.

The spelling of 2212372800 in words is "two billion, two hundred twelve million, three hundred seventy-two thousand, eight hundred".