2545617667 has 8 divisors (see below), whose sum is σ = 2661762816. Its totient is φ = 2429928072.

The previous prime is 2545617661. The next prime is 2545617671. The reversal of 2545617667 is 7667165452.

2545617667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2545617667 - 2⁷ = 2545617539 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2545617667.

It is not an unprimeable number, because it can be changed into a prime (2545617661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102433 + ... + 124834.

It is an arithmetic number, because the mean of its divisors is an integer number (332720352).

Almost surely, 2^2545617667 is an apocalyptic number.

2545617667 is a deficient number, since it is larger than the sum of its proper divisors (116145149).

2545617667 is a wasteful number, since it uses less digits than its factorization.

2545617667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227777.

The product of its digits is 2116800, while the sum is 49.

The square root of 2545617667 is about 50454.1144704770. The cubic root of 2545617667 is about 1365.4141277675.

The spelling of 2545617667 in words is "two billion, five hundred forty-five million, six hundred seventeen thousand, six hundred sixty-seven".