2545711168 has 224 divisors, whose sum is σ = 6882140160. Its totient is φ = 902154240.

The previous prime is 2545711159. The next prime is 2545711183. The reversal of 2545711168 is 8611175452.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2545711168.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060805 + ... + 5061307.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^2545711168 is an apocalyptic number.

2545711168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545711168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441070080).

2545711168 is an abundant number, since it is smaller than the sum of its proper divisors (4336428992).

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

2545711168 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 2545711168 = (6512175184)₉.

2545711168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its digits is 67200, while the sum is 40.

The square root of 2545711168 is about 50455.0410563702. The cubic root of 2545711168 is about 1365.4308448660.

The spelling of 2545711168 in words is "two billion, five hundred forty-five million, seven hundred eleven thousand, one hundred sixty-eight".