2305610002080 has 2304 divisors, whose sum is σ = 10636239237120. Its totient is φ = 452973772800.

The previous prime is 2305610002079. The next prime is 2305610002123. The reversal of 2305610002080 is 802000165032.

2305610002080 is a `hidden beast` number, since 2 + 3 + 0 + 561 + 0 + 0 + 0 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27778433719 + ... + 27778433801.

It is an arithmetic number, because the mean of its divisors is an integer number (4616423280).

Almost surely, 2^{2305610002080} is an apocalyptic number.

2305610002080 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 2305610002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318119618560).

2305610002080 is an abundant number, since it is smaller than the sum of its proper divisors (8330629235040).

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

2305610002080 is a wasteful number, since it uses less digits than its factorization.

2305610002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 2305610002080 in words is "two trillion, three hundred five billion, six hundred ten million, two thousand, eighty".