2542491504 has 120 divisors (see below), whose sum is σ = 8433210240. Its totient is φ = 726418368.

The previous prime is 2542491503. The next prime is 2542491533. The reversal of 2542491504 is 4051942452.

It is a happy number.

2542491504 is a `hidden beast` number, since 25 + 42 + 4 + 91 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542491503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19494 + ... + 73925.

It is an arithmetic number, because the mean of its divisors is an integer number (70276752).

Almost surely, 2^2542491504 is an apocalyptic number.

2542491504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2542491504 is an abundant number, since it is smaller than the sum of its proper divisors (5890718736).

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

2542491504 is an equidigital number, since it uses as much as digits as its factorization.

2542491504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93449 (or 93431 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2542491504 is about 50423.1246949254. The cubic root of 2542491504 is about 1364.8549634571.

The spelling of 2542491504 in words is "two billion, five hundred forty-two million, four hundred ninety-one thousand, five hundred four".