2960188800000 has 1056 divisors, whose sum is σ = 10334641540608. Its totient is φ = 752640000000.

The previous prime is 2960188799999. The next prime is 2960188800007. The reversal of 2960188800000 is 88810692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2960188800007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29308799950 + ... + 29308800050.

It is an arithmetic number, because the mean of its divisors is an integer number (9786592368).

Almost surely, 2^{2960188800000} is an apocalyptic number.

2960188800000 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 2960188800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5167320770304).

2960188800000 is an abundant number, since it is smaller than the sum of its proper divisors (7374452740608).

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

2960188800000 is an equidigital number, since it uses as much as digits as its factorization.

2960188800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 2960188800000 in words is "two trillion, nine hundred sixty billion, one hundred eighty-eight million, eight hundred thousand".