2541316464 has 40 divisors (see below), whose sum is σ = 7294520720. Its totient is φ = 847105344.

The previous prime is 2541316439. The next prime is 2541316471. The reversal of 2541316464 is 4646131452.

2541316464 is a `hidden beast` number, since 2 + 5 + 4 + 1 + 3 + 1 + 646 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2940907 + ... + 2941770.

It is an arithmetic number, because the mean of its divisors is an integer number (182363018).

Almost surely, 2^2541316464 is an apocalyptic number.

2541316464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2541316464 is an abundant number, since it is smaller than the sum of its proper divisors (4753204256).

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

2541316464 is a wasteful number, since it uses less digits than its factorization.

2541316464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882694 (or 5882682 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2541316464 is about 50411.4715516221. The cubic root of 2541316464 is about 1364.6446702202.

The spelling of 2541316464 in words is "two billion, five hundred forty-one million, three hundred sixteen thousand, four hundred sixty-four".