2516864 has 48 divisors (see below), whose sum is σ = 5840520. Its totient is φ = 1058304.

The previous prime is 2516863. The next prime is 2516869. The reversal of 2516864 is 4686152.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2516864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47462 + ... + 47514.

2^2516864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920260).

2516864 is an abundant number, since it is smaller than the sum of its proper divisors (3323656).

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

2516864 is an frugal number, since it uses more digits than its factorization.

2516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 62 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 2516864 is about 1586.4627319922. The cubic root of 2516864 is about 136.0253701229.

The spelling of 2516864 in words is "two million, five hundred sixteen thousand, eight hundred sixty-four".