2545168608 has 192 divisors, whose sum is σ = 7584192000. Its totient is φ = 830269440.

The previous prime is 2545168607. The next prime is 2545168621. The reversal of 2545168608 is 8068615452.

2545168608 is a `hidden beast` number, since 2 + 54 + 516 + 86 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545168607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12789693 + ... + 12789891.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

Almost surely, 2^2545168608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545168608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792096000).

2545168608 is an abundant number, since it is smaller than the sum of its proper divisors (5039023392).

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

2545168608 is a wasteful number, since it uses less digits than its factorization.

2545168608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2545168608 is about 50449.6641019541. The cubic root of 2545168608 is about 1365.3338345420. Note that the first 3 decimals are identical.

The spelling of 2545168608 in words is "two billion, five hundred forty-five million, one hundred sixty-eight thousand, six hundred eight".