2592720 has 120 divisors (see below), whose sum is σ = 9410856. Its totient is φ = 635904.

The previous prime is 2592719. The next prime is 2592731. The reversal of 2592720 is 272952.

2592720 = T₉₄ + T₉₅ + ... + T₂₅₃.

It is a happy number.

2592720 is a `hidden beast` number, since 2 + 592 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 2585664 = 84^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9222 + ... + 9498.

2^2592720 is an apocalyptic number.

2592720 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 2592720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705428).

2592720 is an abundant number, since it is smaller than the sum of its proper divisors (6818136).

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

2592720 is a wasteful number, since it uses less digits than its factorization.

2592720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2592720 is about 1610.1925350715. The cubic root of 2592720 is about 137.3784269760.

The spelling of 2592720 in words is "two million, five hundred ninety-two thousand, seven hundred twenty".