2541924288 has 56 divisors (see below), whose sum is σ = 7472791760. Its totient is φ = 847307520.

The previous prime is 2541924277. The next prime is 2541924289. The reversal of 2541924288 is 8824291452.

2541924288 is a `hidden beast` number, since 2 + 541 + 9 + 24 + 2 + 88 = 666.

It is a super-2 number, since 2×2541924288² = 12922758171848613888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541924289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733783 + ... + 737238.

It is an arithmetic number, because the mean of its divisors is an integer number (133442710).

Almost surely, 2^2541924288 is an apocalyptic number.

It is an amenable number.

2541924288 is an abundant number, since it is smaller than the sum of its proper divisors (4930867472).

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

2541924288 is a wasteful number, since it uses less digits than its factorization.

2541924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471042 (or 1471026 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 2541924288 is about 50417.4998190113. The cubic root of 2541924288 is about 1364.7534586734.

The spelling of 2541924288 in words is "two billion, five hundred forty-one million, nine hundred twenty-four thousand, two hundred eighty-eight".