2122405310400 has 672 divisors, whose sum is σ = 7557558428160. Its totient is φ = 519499284480.

The previous prime is 2122405310387. The next prime is 2122405310413. The reversal of 2122405310400 is 40135042212.

It is an interprime number because it is at equal distance from previous prime (2122405310387) and next prime (2122405310413).

It is a super-2 number, since 2×2122405310400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 563119716 + ... + 563123484.

Almost surely, 2^{2122405310400} is an apocalyptic number.

2122405310400 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 2122405310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778779214080).

2122405310400 is an abundant number, since it is smaller than the sum of its proper divisors (5435153117760).

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

2122405310400 is a wasteful number, since it uses less digits than its factorization.

2122405310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 2122405310400 in words is "two trillion, one hundred twenty-two billion, four hundred five million, three hundred ten thousand, four hundred".