2516272 has 60 divisors (see below), whose sum is σ = 5832216. Its totient is φ = 1039360.

The previous prime is 2516263. The next prime is 2516273. The reversal of 2516272 is 2726152.

It is not an unprimeable number, because it can be changed into a prime (2516273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86754 + ... + 86782.

2^2516272 is an apocalyptic number.

2516272 is a gapful number since it is divisible by the number (22) 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 2516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916108).

2516272 is an abundant number, since it is smaller than the sum of its proper divisors (3315944).

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

2516272 is a wasteful number, since it uses less digits than its factorization.

2516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 2516272 is about 1586.2761424166. The cubic root of 2516272 is about 136.0147042925.

The spelling of 2516272 in words is "two million, five hundred sixteen thousand, two hundred seventy-two".