2113034412400 has 240 divisors, whose sum is σ = 5509952697600. Its totient is φ = 776788992000.

The previous prime is 2113034412323. The next prime is 2113034412469. The reversal of 2113034412400 is 42144303112.

It is a super-2 number, since 2×2113034412400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 21887436 + ... + 21983764.

It is an arithmetic number, because the mean of its divisors is an integer number (22958136240).

Almost surely, 2^{2113034412400} is an apocalyptic number.

2113034412400 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 2113034412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754976348800).

2113034412400 is an abundant number, since it is smaller than the sum of its proper divisors (3396918285200).

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

2113034412400 is a wasteful number, since it uses less digits than its factorization.

2113034412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96468 (or 96457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 2113034412400 its reverse (42144303112), we get a palindrome (2155178715512).

The spelling of 2113034412400 in words is "two trillion, one hundred thirteen billion, thirty-four million, four hundred twelve thousand, four hundred".