2960558800 has 120 divisors (see below), whose sum is σ = 7350058584. Its totient is φ = 1145364480.

The previous prime is 2960558773. The next prime is 2960558801. The reversal of 2960558800 is 88550692.

It can be written as a sum of positive squares in 12 ways, for example, as 92313664 + 2868245136 = 9608^2 + 53556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960558801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546644 + ... + 1548556.

Almost surely, 2^2960558800 is an apocalyptic number.

2960558800 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 2960558800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675029292).

2960558800 is an abundant number, since it is smaller than the sum of its proper divisors (4389499784).

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

2960558800 is a wasteful number, since it uses less digits than its factorization.

2960558800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 2960558800 is about 54411.0172667264. The cubic root of 2960558800 is about 1435.9012173315.

The spelling of 2960558800 in words is "two billion, nine hundred sixty million, five hundred fifty-eight thousand, eight hundred".