2123042575824 has 160 divisors (see below), whose sum is σ = 6178133145600. Its totient is φ = 697921660800.

The previous prime is 2123042575763. The next prime is 2123042575847. The reversal of 2123042575824 is 4285752403212.

2123042575824 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 42 + 575 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×2123042575824² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123042575824.

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 31 ways as a sum of consecutive naturals, for example, 30099799 + ... + 30170249.

It is an arithmetic number, because the mean of its divisors is an integer number (38613332160).

Almost surely, 2^{2123042575824} is an apocalyptic number.

2123042575824 is a gapful number since it is divisible by the number (24) 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 2123042575824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089066572800).

2123042575824 is an abundant number, since it is smaller than the sum of its proper divisors (4055090569776).

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

2123042575824 is a wasteful number, since it uses less digits than its factorization.

2123042575824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71430 (or 71418 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2123042575824 in words is "two trillion, one hundred twenty-three billion, forty-two million, five hundred seventy-five thousand, eight hundred twenty-four".