2538960 has 80 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 663040.

The previous prime is 2538959. The next prime is 2538971. The reversal of 2538960 is 698352.

It is a happy number.

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

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, 16966 + ... + 17114.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

2^2538960 is an apocalyptic number.

2538960 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 2538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

2538960 is an abundant number, since it is smaller than the sum of its proper divisors (5496240).

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

2538960 is a wasteful number, since it uses less digits than its factorization.

2538960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2538960 is about 1593.4114346270. The cubic root of 2538960 is about 136.4222745791.

The spelling of 2538960 in words is "two million, five hundred thirty-eight thousand, nine hundred sixty".