2593105920 has 384 divisors, whose sum is σ = 9411292800. Its totient is φ = 677117952.

The previous prime is 2593105919. The next prime is 2593105973. The reversal of 2593105920 is 295013952.

It is a happy number.

2593105920 is a `hidden beast` number, since 2 + 59 + 3 + 10 + 592 + 0 = 666.

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

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22947784 + ... + 22947896.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 2^2593105920 is an apocalyptic number.

2593105920 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 2593105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705646400).

2593105920 is an abundant number, since it is smaller than the sum of its proper divisors (6818186880).

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

2593105920 is a wasteful number, since it uses less digits than its factorization.

2593105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2593105920 is about 50922.5482473138. The cubic root of 2593105920 is about 1373.8524278495.

The spelling of 2593105920 in words is "two billion, five hundred ninety-three million, one hundred five thousand, nine hundred twenty".