2545288704 has 320 divisors, whose sum is σ = 8917286400. Its totient is φ = 701374464.

The previous prime is 2545288703. The next prime is 2545288717. The reversal of 2545288704 is 4078825452.

2545288704 is a `hidden beast` number, since 2 + 54 + 528 + 8 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2545288704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545288703) 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, 2805819 + ... + 2806725.

It is an arithmetic number, because the mean of its divisors is an integer number (27866520).

Almost surely, 2^2545288704 is an apocalyptic number.

2545288704 is a gapful number since it is divisible by the number (24) 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 2545288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458643200).

2545288704 is an abundant number, since it is smaller than the sum of its proper divisors (6371997696).

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

2545288704 is an equidigital number, since it uses as much as digits as its factorization.

2545288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2545288704 is about 50450.8543436085. The cubic root of 2545288704 is about 1365.3553090267.

The spelling of 2545288704 in words is "two billion, five hundred forty-five million, two hundred eighty-eight thousand, seven hundred four".