2541792 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 734720.

The previous prime is 2541769. The next prime is 2541811. The reversal of 2541792 is 2971452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30583 + ... + 30665.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2541792 is an apocalyptic number.

2541792 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 2541792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2541792 is an abundant number, since it is smaller than the sum of its proper divisors (5078688).

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

2541792 is a wasteful number, since it uses less digits than its factorization.

2541792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2541792 is about 1594.2998463275. The cubic root of 2541792 is about 136.4729783219.

It can be divided in two parts, 2541 and 792, that added together give a palindrome (3333).

The spelling of 2541792 in words is "two million, five hundred forty-one thousand, seven hundred ninety-two".