2541132 has 120 divisors (see below), whose sum is σ = 7805952. Its totient is φ = 712800.

The previous prime is 2541131. The next prime is 2541151. The reversal of 2541132 is 2311452.

2541132 = 13³ + 14³ + ... + 56³.

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 (2541131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81957 + ... + 81987.

2^2541132 is an apocalyptic number.

2541132 is a gapful number since it is divisible by the number (22) 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 2541132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3902976).

2541132 is an abundant number, since it is smaller than the sum of its proper divisors (5264820).

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

2541132 is a wasteful number, since it uses less digits than its factorization.

2541132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

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

The square root of 2541132 is about 1594.0928454767. The cubic root of 2541132 is about 136.4611651388.

Adding to 2541132 its reverse (2311452), we get a palindrome (4852584).

The spelling of 2541132 in words is "two million, five hundred forty-one thousand, one hundred thirty-two".