2945088000 has 240 divisors, whose sum is σ = 10609729416. Its totient is φ = 785203200.

The previous prime is 2945087917. The next prime is 2945088031. The reversal of 2945088000 is 8805492.

It can be written as a sum of positive squares in 4 ways, for example, as 152176896 + 2792911104 = 12336^2 + 52848^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573444 + ... + 578556.

Almost surely, 2^2945088000 is an apocalyptic number.

2945088000 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 2945088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304864708).

2945088000 is an abundant number, since it is smaller than the sum of its proper divisors (7664641416).

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

2945088000 is an equidigital number, since it uses as much as digits as its factorization.

2945088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2945088000 is about 54268.6649918717. The cubic root of 2945088000 is about 1433.3956826432.

The spelling of 2945088000 in words is "two billion, nine hundred forty-five million, eighty-eight thousand".