2547972945 has 48 divisors (see below), whose sum is σ = 5053426560. Its totient is φ = 1163400192.

The previous prime is 2547972907. The next prime is 2547972967. The reversal of 2547972945 is 5492797452.

2547972945 is a `hidden beast` number, since 2 + 547 + 9 + 7 + 2 + 94 + 5 = 666.

It is not a de Polignac number, because 2547972945 - 2⁹ = 2547972433 is a prime.

It is a super-2 number, since 2×2547972945² = 12984332256903946050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2547972891 and 2547972900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288282 + ... + 296988.

It is an arithmetic number, because the mean of its divisors is an integer number (105279720).

Almost surely, 2^2547972945 is an apocalyptic number.

It is an amenable number.

2547972945 is a deficient number, since it is larger than the sum of its proper divisors (2505453615).

2547972945 is a wasteful number, since it uses less digits than its factorization.

2547972945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9651 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2547972945 is about 50477.4498662522. The cubic root of 2547972945 is about 1365.8351046466.

The spelling of 2547972945 in words is "two billion, five hundred forty-seven million, nine hundred seventy-two thousand, nine hundred forty-five".