2516832 has 60 divisors (see below), whose sum is σ = 7409556. Its totient is φ = 838080.

The previous prime is 2516783. The next prime is 2516837. The reversal of 2516832 is 2386152.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2516796 and 2516805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516837) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2107 + ... + 3077.

2^2516832 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 2516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704778).

2516832 is an abundant number, since it is smaller than the sum of its proper divisors (4892724).

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

2516832 is an equidigital number, since it uses as much as digits as its factorization.

2516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 976 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2516832 is about 1586.4526466302. The cubic root of 2516832 is about 136.0247936342.

It can be divided in two parts, 25168 and 32, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 2516832 in words is "two million, five hundred sixteen thousand, eight hundred thirty-two".