2546451664 has 10 divisors (see below), whose sum is σ = 4933750130. Its totient is φ = 1273225824.

The previous prime is 2546451659. The next prime is 2546451667. The reversal of 2546451664 is 4661546452.

2546451664 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., 2446291600 + 100160064 = 49460^2 + 10008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2546451664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546451667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 79576599 + ... + 79576630.

It is an arithmetic number, because the mean of its divisors is an integer number (493375013).

Almost surely, 2^2546451664 is an apocalyptic number.

It is an amenable number.

2546451664 is a deficient number, since it is larger than the sum of its proper divisors (2387298466).

2546451664 is a wasteful number, since it uses less digits than its factorization.

2546451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159153237 (or 159153231 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The square root of 2546451664 is about 50462.3786993836. The cubic root of 2546451664 is about 1365.5632241230.

The spelling of 2546451664 in words is "two billion, five hundred forty-six million, four hundred fifty-one thousand, six hundred sixty-four".