2113403022400 has 168 divisors, whose sum is σ = 5257334524680. Its totient is φ = 836106240000.

The previous prime is 2113403022397. The next prime is 2113403022443. The reversal of 2113403022400 is 42203043112.

It can be written as a sum of positive squares in 12 ways, for example, as 178611045376 + 1934791977024 = 422624^2 + 1390968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164987196 + ... + 165000004.

It is an arithmetic number, because the mean of its divisors is an integer number (31293657885).

Almost surely, 2^{2113403022400} is an apocalyptic number.

2113403022400 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 2113403022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628667262340).

2113403022400 is an abundant number, since it is smaller than the sum of its proper divisors (3143931502280).

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

2113403022400 is a wasteful number, since it uses less digits than its factorization.

2113403022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13938 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2113403022400 its reverse (42203043112), we get a palindrome (2155606065512).

The spelling of 2113403022400 in words is "two trillion, one hundred thirteen billion, four hundred three million, twenty-two thousand, four hundred".