2497664 has 64 divisors (see below), whose sum is σ = 5712000. Its totient is φ = 1078272.

The previous prime is 2497661. The next prime is 2497667. The reversal of 2497664 is 4667942.

It is an interprime number because it is at equal distance from previous prime (2497661) and next prime (2497667).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a d-powerful number, because it can be written as 2⁷ + 4⁸ + 9 + 7⁷ + 6⁷ + 6⁷ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2497661) 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 7 ways as a sum of consecutive naturals, for example, 31577 + ... + 31655.

It is an arithmetic number, because the mean of its divisors is an integer number (89250).

2^2497664 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 2497664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856000).

2497664 is an abundant number, since it is smaller than the sum of its proper divisors (3214336).

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

2497664 is a wasteful number, since it uses less digits than its factorization.

2497664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 2497664 is about 1580.3999493799. The cubic root of 2497664 is about 135.6785951261.

The spelling of 2497664 in words is "two million, four hundred ninety-seven thousand, six hundred sixty-four".