2591520 has 48 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 690944.

The previous prime is 2591513. The next prime is 2591521. The reversal of 2591520 is 251952.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2591521) 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, 2220 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

2^2591520 is an apocalyptic number.

2591520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2591520 is an abundant number, since it is smaller than the sum of its proper divisors (5573280).

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

2591520 is a wasteful number, since it uses less digits than its factorization.

2591520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5409 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2591520 is about 1609.8198656993. The cubic root of 2591520 is about 137.3572292182.

The spelling of 2591520 in words is "two million, five hundred ninety-one thousand, five hundred twenty".