2645210880 has 432 divisors, whose sum is σ = 10445984640. Its totient is φ = 612237312.

The previous prime is 2645210851. The next prime is 2645210921. The reversal of 2645210880 is 880125462.

2645210880 is a `hidden beast` number, since 2 + 645 + 2 + 1 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545401 + ... + 2546439.

It is an arithmetic number, because the mean of its divisors is an integer number (24180520).

Almost surely, 2^2645210880 is an apocalyptic number.

2645210880 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 2645210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222992320).

2645210880 is an abundant number, since it is smaller than the sum of its proper divisors (7800773760).

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

2645210880 is a wasteful number, since it uses less digits than its factorization.

2645210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2645210880 is about 51431.6136243070. The cubic root of 2645210880 is about 1382.9933763091.

The spelling of 2645210880 in words is "two billion, six hundred forty-five million, two hundred ten thousand, eight hundred eighty".