2532960 has 72 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 675072.

The previous prime is 2532931. The next prime is 2532989. The reversal of 2532960 is 692352.

It is an interprime number because it is at equal distance from previous prime (2532931) and next prime (2532989).

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

2^2532960 is an apocalyptic number.

2532960 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 2532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2532960 is an abundant number, since it is smaller than the sum of its proper divisors (6115680).

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

2532960 is a wasteful number, since it uses less digits than its factorization.

2532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2532960 is about 1591.5275680930. The cubic root of 2532960 is about 136.3147267021.

The spelling of 2532960 in words is "two million, five hundred thirty-two thousand, nine hundred sixty".