2541331656 has 24 divisors (see below), whose sum is σ = 6882773430. Its totient is φ = 847110528.

The previous prime is 2541331631. The next prime is 2541331657. The reversal of 2541331656 is 6561331452.

2541331656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1744398756 + 796932900 = 41766^2 + 28230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2541331656.

It is not an unprimeable number, because it can be changed into a prime (2541331657) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17648065 + ... + 17648208.

Almost surely, 2^2541331656 is an apocalyptic number.

It is an amenable number.

2541331656 is an abundant number, since it is smaller than the sum of its proper divisors (4341441774).

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

2541331656 is a wasteful number, since it uses less digits than its factorization.

2541331656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35296285 (or 35296278 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2541331656 is about 50411.6222313863. The cubic root of 2541331656 is about 1364.6473894986.

The spelling of 2541331656 in words is "two billion, five hundred forty-one million, three hundred thirty-one thousand, six hundred fifty-six".