2190242325600 has 864 divisors, whose sum is σ = 9327423006720. Its totient is φ = 472779141120.

The previous prime is 2190242325599. The next prime is 2190242325613. The reversal of 2190242325600 is 65232420912.

2190242325600 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 2 + 4 + 23 + 25 + 600 = 666.

It is a super-2 number, since 2×2190242325600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 91564842 + ... + 91588758.

It is an arithmetic number, because the mean of its divisors is an integer number (10795628480).

Almost surely, 2^{2190242325600} is an apocalyptic number.

2190242325600 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 2190242325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663711503360).

2190242325600 is an abundant number, since it is smaller than the sum of its proper divisors (7137180681120).

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

2190242325600 is a wasteful number, since it uses less digits than its factorization.

2190242325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052 (or 24036 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2190242325600 in words is "two trillion, one hundred ninety billion, two hundred forty-two million, three hundred twenty-five thousand, six hundred".