2541312864 has 144 divisors (see below), whose sum is σ = 7681171680. Its totient is φ = 794234880.

The previous prime is 2541312827. The next prime is 2541312877. The reversal of 2541312864 is 4682131452.

It is a happy number.

2541312864 is a `hidden beast` number, since 2 + 541 + 31 + 2 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1521822 + ... + 1523490.

It is an arithmetic number, because the mean of its divisors is an integer number (53341470).

Almost surely, 2^2541312864 is an apocalyptic number.

2541312864 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 2541312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840585840).

2541312864 is an abundant number, since it is smaller than the sum of its proper divisors (5139858816).

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

2541312864 is a wasteful number, since it uses less digits than its factorization.

2541312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2541312864 is about 50411.4358454508. The cubic root of 2541312864 is about 1364.6440258399.

The spelling of 2541312864 in words is "two billion, five hundred forty-one million, three hundred twelve thousand, eight hundred sixty-four".