2632560 has 80 divisors (see below), whose sum is σ = 9332736. Its totient is φ = 601344.

The previous prime is 2632549. The next prime is 2632573. The reversal of 2632560 is 652362.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 3 + 2²¹ + 5⁵ + 6⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2632560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897 + ... + 2463.

2^2632560 is an apocalyptic number.

2632560 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 2632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666368).

2632560 is an abundant number, since it is smaller than the sum of its proper divisors (6700176).

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

2632560 is a wasteful number, since it uses less digits than its factorization.

2632560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2632560 is about 1622.5165638600. The cubic root of 2632560 is about 138.0785102513.

The spelling of 2632560 in words is "two million, six hundred thirty-two thousand, five hundred sixty".