2457984 has 64 divisors (see below), whose sum is σ = 6744240. Its totient is φ = 792576.

The previous prime is 2457971. The next prime is 2457997. The reversal of 2457984 is 4897542.

It is an interprime number because it is at equal distance from previous prime (2457971) and next prime (2457997).

It is a tau number, because it is divible by the number of its divisors (64).

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, 14122 + ... + 14294.

2^2457984 is an apocalyptic number.

2457984 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 2457984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372120).

2457984 is an abundant number, since it is smaller than the sum of its proper divisors (4286256).

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

2457984 is a wasteful number, since it uses less digits than its factorization.

2457984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 2457984 is about 1567.7959050846. The cubic root of 2457984 is about 134.9562546878.

The spelling of 2457984 in words is "two million, four hundred fifty-seven thousand, nine hundred eighty-four".