2501664 has 96 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 718080.

The previous prime is 2501657. The next prime is 2501677. The reversal of 2501664 is 4661052.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 24237 + ... + 24339.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2^2501664 is an apocalyptic number.

2501664 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 2501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2501664 is an abundant number, since it is smaller than the sum of its proper divisors (5046240).

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

2501664 is a wasteful number, since it uses less digits than its factorization.

2501664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2501664 is about 1581.6649455558. The cubic root of 2501664 is about 135.7509860908.

The spelling of 2501664 in words is "two million, five hundred one thousand, six hundred sixty-four".