2500164 has 36 divisors (see below), whose sum is σ = 6494124. Its totient is φ = 810432.

The previous prime is 2500163. The next prime is 2500171. The reversal of 2500164 is 4610052.

It is a happy number.

2500164 is a `hidden beast` number, since 2 + 500 + 164 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 562500 = 1392^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2500163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 394 + ... + 2270.

2^2500164 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 2500164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247062).

2500164 is an abundant number, since it is smaller than the sum of its proper divisors (3993960).

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

2500164 is a wasteful number, since it uses less digits than its factorization.

2500164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2500164 is about 1581.1906905873. The cubic root of 2500164 is about 135.7238485281.

The spelling of 2500164 in words is "two million, five hundred thousand, one hundred sixty-four".