2590720 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 901120.

The previous prime is 2590717. The next prime is 2590723. The reversal of 2590720 is 270952.

It is an interprime number because it is at equal distance from previous prime (2590717) and next prime (2590723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112629 + ... + 112651.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^2590720 is an apocalyptic number.

2590720 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 2590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2590720 is an abundant number, since it is smaller than the sum of its proper divisors (4485440).

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

2590720 is a wasteful number, since it uses less digits than its factorization.

2590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 2590720 is about 1609.5713715148. The cubic root of 2590720 is about 137.3430937439.

The spelling of 2590720 in words is "two million, five hundred ninety thousand, seven hundred twenty".