2112909926400 has 4032 divisors, whose sum is σ = 10706775436800. Its totient is φ = 397494190080.

The previous prime is 2112909926389. The next prime is 2112909926443. The reversal of 2112909926400 is 46299092112.

2112909926400 is a `hidden beast` number, since 2 + 11 + 290 + 99 + 264 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 111205785591 + ... + 111205785609.

Almost surely, 2^{2112909926400} is an apocalyptic number.

2112909926400 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 2112909926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353387718400).

2112909926400 is an abundant number, since it is smaller than the sum of its proper divisors (8593865510400).

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

2112909926400 is a wasteful number, since it uses less digits than its factorization.

2112909926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 2112909926400 in words is "two trillion, one hundred twelve billion, nine hundred nine million, nine hundred twenty-six thousand, four hundred".