2542131504 has 120 divisors (see below), whose sum is σ = 7821088704. Its totient is φ = 764400000.

The previous prime is 2542131497. The next prime is 2542131517. The reversal of 2542131504 is 4051312452.

2542131504 is a `hidden beast` number, since 25 + 4 + 2 + 131 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201379 + ... + 213629.

Almost surely, 2^2542131504 is an apocalyptic number.

2542131504 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 2542131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910544352).

2542131504 is an abundant number, since it is smaller than the sum of its proper divisors (5278957200).

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

2542131504 is a wasteful number, since it uses less digits than its factorization.

2542131504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12407 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2542131504 is about 50419.5547778836. The cubic root of 2542131504 is about 1364.7905422679.

Adding to 2542131504 its reverse (4051312452), we get a palindrome (6593443956).

The spelling of 2542131504 in words is "two billion, five hundred forty-two million, one hundred thirty-one thousand, five hundred four".