2538080 has 48 divisors (see below), whose sum is σ = 6214320. Its totient is φ = 978432.

The previous prime is 2538079. The next prime is 2538091. The reversal of 2538080 is 808352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4367 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (129465).

2^2538080 is an apocalyptic number.

2538080 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 2538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107160).

2538080 is an abundant number, since it is smaller than the sum of its proper divisors (3676240).

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

2538080 is a wasteful number, since it uses less digits than its factorization.

2538080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2538080 is about 1593.1352736036. The cubic root of 2538080 is about 136.4065115011.

The spelling of 2538080 in words is "two million, five hundred thirty-eight thousand, eighty".