2645725680 has 720 divisors, whose sum is σ = 10833994080. Its totient is φ = 595703808.

The previous prime is 2645725619. The next prime is 2645725711. The reversal of 2645725680 is 865275462.

2645725680 is a `hidden beast` number, since 26 + 4 + 572 + 56 + 8 + 0 = 666.

2645725680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2645725680² = 13999728747622924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91231906 + ... + 91231934.

It is an arithmetic number, because the mean of its divisors is an integer number (15047214).

Almost surely, 2^2645725680 is an apocalyptic number.

2645725680 is a gapful number since it is divisible by the number (20) 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 2645725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416997040).

2645725680 is an abundant number, since it is smaller than the sum of its proper divisors (8188268400).

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

2645725680 is a wasteful number, since it uses less digits than its factorization.

2645725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2645725680 is about 51436.6180847847. The cubic root of 2645725680 is about 1383.0830879731.

The spelling of 2645725680 in words is "two billion, six hundred forty-five million, seven hundred twenty-five thousand, six hundred eighty".