2805130112960 has 224 divisors, whose sum is σ = 7953886015488. Its totient is φ = 922033520640.

The previous prime is 2805130112957. The next prime is 2805130112969. The reversal of 2805130112960 is 692110315082.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805130112969) 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, 7241312 + ... + 7618848.

It is an arithmetic number, because the mean of its divisors is an integer number (35508419712).

Almost surely, 2^{2805130112960} is an apocalyptic number.

2805130112960 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 2805130112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976943007744).

2805130112960 is an abundant number, since it is smaller than the sum of its proper divisors (5148755902528).

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

2805130112960 is a wasteful number, since it uses less digits than its factorization.

2805130112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377699 (or 377689 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 2805130112960 in words is "two trillion, eight hundred five billion, one hundred thirty million, one hundred twelve thousand, nine hundred sixty".