2612664 has 48 divisors (see below), whose sum is σ = 7155720. Its totient is φ = 861120.

The previous prime is 2612651. The next prime is 2612677. The reversal of 2612664 is 4662162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2612651) and next prime (2612677).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9294 + ... + 9570.

2^2612664 is an apocalyptic number.

2612664 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 2612664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577860).

2612664 is an abundant number, since it is smaller than the sum of its proper divisors (4543056).

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

2612664 is a wasteful number, since it uses less digits than its factorization.

2612664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

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

The square root of 2612664 is about 1616.3737191627. The cubic root of 2612664 is about 137.7297799819.

The spelling of 2612664 in words is "two million, six hundred twelve thousand, six hundred sixty-four".