2112422400 has 360 divisors, whose sum is σ = 8251976304. Its totient is φ = 511795200.

The previous prime is 2112422399. The next prime is 2112422449. The reversal of 2112422400 is 42242112.

2112422400 is a `hidden beast` number, since 21 + 1 + 242 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266367 + ... + 1268033.

Almost surely, 2^2112422400 is an apocalyptic number.

2112422400 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 2112422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125988152).

2112422400 is an abundant number, since it is smaller than the sum of its proper divisors (6139553904).

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

2112422400 is a wasteful number, since it uses less digits than its factorization.

2112422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2112422400 is about 45961.0965926619. The cubic root of 2112422400 is about 1283.0992605455.

Adding to 2112422400 its reverse (42242112), we get a palindrome (2154664512).

It can be divided in two parts, 21 and 12422400, that added together give a palindrome (12422421).

The spelling of 2112422400 in words is "two billion, one hundred twelve million, four hundred twenty-two thousand, four hundred".