2624664 has 64 divisors (see below), whose sum is σ = 7948800. Its totient is φ = 705024.

The previous prime is 2624663. The next prime is 2624693. The reversal of 2624664 is 4664262.

It is a super-2 number, since 2×2624664² = 13777722225792, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 2²¹ + 4⁶ + 6⁶ + 6⁷ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2624663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397 + ... + 3315.

It is an arithmetic number, because the mean of its divisors is an integer number (124200).

2^2624664 is an apocalyptic number.

2624664 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 2624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974400).

2624664 is an abundant number, since it is smaller than the sum of its proper divisors (5324136).

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

2624664 is a wasteful number, since it uses less digits than its factorization.

2624664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 2624664 is about 1620.0814794324. The cubic root of 2624664 is about 137.9403228630.

The spelling of 2624664 in words is "two million, six hundred twenty-four thousand, six hundred sixty-four".