2505984 has 72 divisors (see below), whose sum is σ = 7211232. Its totient is φ = 768000.

The previous prime is 2505983. The next prime is 2505989. The reversal of 2505984 is 4895052.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505983) 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, 9859 + ... + 10109.

It is an arithmetic number, because the mean of its divisors is an integer number (100156).

2^2505984 is an apocalyptic number.

2505984 is a gapful number since it is divisible by the number (24) 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 2505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605616).

2505984 is an abundant number, since it is smaller than the sum of its proper divisors (4705248).

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

2505984 is a wasteful number, since it uses less digits than its factorization.

2505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2505984 is about 1583.0300060327. The cubic root of 2505984 is about 135.8290817125.

The spelling of 2505984 in words is "two million, five hundred five thousand, nine hundred eighty-four".