2112886742400 has 432 divisors, whose sum is σ = 8770170218940. Its totient is φ = 482945218560.

The previous prime is 2112886742389. The next prime is 2112886742423. The reversal of 2112886742400 is 42476882112.

2112886742400 is a `hidden beast` number, since 2 + 1 + 128 + 86 + 7 + 42 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 662587 + ... + 2159813.

Almost surely, 2^{2112886742400} is an apocalyptic number.

2112886742400 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 2112886742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385085109470).

2112886742400 is an abundant number, since it is smaller than the sum of its proper divisors (6657283476540).

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

2112886742400 is a wasteful number, since it uses less digits than its factorization.

2112886742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497271 (or 1497244 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2112886742400 in words is "two trillion, one hundred twelve billion, eight hundred eighty-six million, seven hundred forty-two thousand, four hundred".