2616264 has 96 divisors (see below), whose sum is σ = 8424000. Its totient is φ = 717696.

The previous prime is 2616241. The next prime is 2616269. The reversal of 2616264 is 4626162.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14527 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

2^2616264 is an apocalyptic number.

2616264 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 2616264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2616264 is an abundant number, since it is smaller than the sum of its proper divisors (5807736).

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

2616264 is a wasteful number, since it uses less digits than its factorization.

2616264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2616264 is about 1617.4869396691. The cubic root of 2616264 is about 137.7930104174.

It can be divided in two parts, 26 and 16264, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 2616264 in words is "two million, six hundred sixteen thousand, two hundred sixty-four".