2164093257024 has 560 divisors, whose sum is σ = 6711510941696. Its totient is φ = 691581888000.

The previous prime is 2164093257023. The next prime is 2164093257043. The reversal of 2164093257024 is 4207523904612.

2164093257024 is a `hidden beast` number, since 2 + 1 + 6 + 40 + 9 + 32 + 570 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164093257023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5896711689 + ... + 5896712055.

Almost surely, 2^{2164093257024} is an apocalyptic number.

2164093257024 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 2164093257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355755470848).

2164093257024 is an abundant number, since it is smaller than the sum of its proper divisors (4547417684672).

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

2164093257024 is an frugal number, since it uses more digits than its factorization.

2164093257024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2164093257024 in words is "two trillion, one hundred sixty-four billion, ninety-three million, two hundred fifty-seven thousand, twenty-four".