2593104002720 has 384 divisors, whose sum is σ = 7798575697920. Its totient is φ = 791395246080.

The previous prime is 2593104002689. The next prime is 2593104002761. The reversal of 2593104002720 is 272004013952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125000669 + ... + 125021411.

It is an arithmetic number, because the mean of its divisors is an integer number (20308790880).

Almost surely, 2^{2593104002720} is an apocalyptic number.

2593104002720 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 2593104002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899287848960).

2593104002720 is an abundant number, since it is smaller than the sum of its proper divisors (5205471695200).

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

2593104002720 is a wasteful number, since it uses less digits than its factorization.

2593104002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20988 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 2593104002720 in words is "two trillion, five hundred ninety-three billion, one hundred four million, two thousand, seven hundred twenty".