2597952 has 56 divisors (see below), whose sum is σ = 7859776. Its totient is φ = 741888.

The previous prime is 2597939. The next prime is 2597953.

2597952 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2597952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2597953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 2310.

2^2597952 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 2597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929888).

2597952 is an abundant number, since it is smaller than the sum of its proper divisors (5261824).

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

2597952 is a wasteful number, since it uses less digits than its factorization.

2597952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1945 counting only the distinct ones).

The product of its digits is 56700, while the sum is 39.

The square root of 2597952 is about 1611.8163667118. The cubic root of 2597952 is about 137.4707728512.

The spelling of 2597952 in words is "two million, five hundred ninety-seven thousand, nine hundred fifty-two".