2542784 has 28 divisors (see below), whose sum is σ = 5129784. Its totient is φ = 1250304.

The previous prime is 2542759. The next prime is 2542817. The reversal of 2542784 is 4872452.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2542784.

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, 3992 + ... + 4584.

2^2542784 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 2542784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564892).

2542784 is an abundant number, since it is smaller than the sum of its proper divisors (2587000).

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

2542784 is an equidigital number, since it uses as much as digits as its factorization.

2542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 2542784 is about 1594.6109243323. The cubic root of 2542784 is about 136.4907300480.

The spelling of 2542784 in words is "two million, five hundred forty-two thousand, seven hundred eighty-four".