2637952 has 32 divisors (see below), whose sum is σ = 5407020. Its totient is φ = 1281024.

The previous prime is 2637937. The next prime is 2637953. The reversal of 2637952 is 2597362.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 576 = 1624^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2⁹ + 6⁸ + 3 + 7⁷ + 9² + 5⁵ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (2637953) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4458 + ... + 5014.

2^2637952 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 2637952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703510).

2637952 is an abundant number, since it is smaller than the sum of its proper divisors (2769068).

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

2637952 is an equidigital number, since it uses as much as digits as its factorization.

2637952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2637952 is about 1624.1773302198. The cubic root of 2637952 is about 138.1727166002.

The spelling of 2637952 in words is "two million, six hundred thirty-seven thousand, nine hundred fifty-two".