2545664544 has 96 divisors (see below), whose sum is σ = 7680960000. Its totient is φ = 819286272.

The previous prime is 2545664519. The next prime is 2545664557. The reversal of 2545664544 is 4454665452.

2545664544 is a `hidden beast` number, since 2 + 5 + 4 + 566 + 45 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2545664544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25744 + ... + 75855.

It is an arithmetic number, because the mean of its divisors is an integer number (80010000).

Almost surely, 2^2545664544 is an apocalyptic number.

2545664544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2545664544 is an abundant number, since it is smaller than the sum of its proper divisors (5135295456).

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

2545664544 is a wasteful number, since it uses less digits than its factorization.

2545664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101647 (or 101633 counting only the distinct ones).

The product of its digits is 2304000, while the sum is 45.

The square root of 2545664544 is about 50454.5790191535. The cubic root of 2545664544 is about 1365.4225089849.

It can be divided in two parts, 25456 and 64544, that added together give a square (90000 = 300²).

The spelling of 2545664544 in words is "two billion, five hundred forty-five million, six hundred sixty-four thousand, five hundred forty-four".