2541952 has 32 divisors (see below), whose sum is σ = 5789520. Its totient is φ = 1089024.

The previous prime is 2541949. The next prime is 2541961. The reversal of 2541952 is 2591452.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2541952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 523 + ... + 2314.

2^2541952 is an apocalyptic number.

It is an amenable number.

2541952 is an abundant number, since it is smaller than the sum of its proper divisors (3247568).

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

2541952 is an equidigital number, since it uses as much as digits as its factorization.

2541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2846 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 2541952 is about 1594.3500243046. The cubic root of 2541952 is about 136.4758418159.

Subtracting from 2541952 its product of digits (3600), we obtain a palindrome (2538352).

The spelling of 2541952 in words is "two million, five hundred forty-one thousand, nine hundred fifty-two".