2542183584 has 96 divisors (see below), whose sum is σ = 7157263680. Its totient is φ = 787617792.

The previous prime is 2542183577. The next prime is 2542183627. The reversal of 2542183584 is 4853812452.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83524 + ... + 109820.

It is an arithmetic number, because the mean of its divisors is an integer number (74554830).

Almost surely, 2^2542183584 is an apocalyptic number.

2542183584 is a gapful number since it is divisible by the number (24) 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 2542183584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578631840).

2542183584 is an abundant number, since it is smaller than the sum of its proper divisors (4615080096).

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

2542183584 is a wasteful number, since it uses less digits than its factorization.

2542183584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26382 (or 26374 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 2542183584 is about 50420.0712415205. The cubic root of 2542183584 is about 1364.7998622428.

The spelling of 2542183584 in words is "two billion, five hundred forty-two million, one hundred eighty-three thousand, five hundred eighty-four".