2190074590080 has 384 divisors, whose sum is σ = 8179359289920. Its totient is φ = 536777293824.

The previous prime is 2190074590049. The next prime is 2190074590087. The reversal of 2190074590080 is 800954700912.

2190074590080 is a `hidden beast` number, since 2 + 190 + 0 + 7 + 459 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2190074590080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190074590087) by changing a digit.

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, 17384277 + ... + 17509803.

Almost surely, 2^{2190074590080} is an apocalyptic number.

2190074590080 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 2190074590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089679644960).

2190074590080 is an abundant number, since it is smaller than the sum of its proper divisors (5989284699840).

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

2190074590080 is a wasteful number, since it uses less digits than its factorization.

2190074590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125798 (or 125783 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2190074590080 in words is "two trillion, one hundred ninety billion, seventy-four million, five hundred ninety thousand, eighty".