2945896800 has 576 divisors, whose sum is σ = 12599193600. Its totient is φ = 579225600.

The previous prime is 2945896771. The next prime is 2945896801. The reversal of 2945896800 is 86985492.

2945896800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945896801) 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, 3510781 + ... + 3511619.

It is an arithmetic number, because the mean of its divisors is an integer number (21873600).

Almost surely, 2^2945896800 is an apocalyptic number.

2945896800 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 2945896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

2945896800 is an abundant number, since it is smaller than the sum of its proper divisors (9653296800).

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

2945896800 is a wasteful number, since it uses less digits than its factorization.

2945896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2945896800 is about 54276.1162943702. The cubic root of 2945896800 is about 1433.5268869079.

The spelling of 2945896800 in words is "two billion, nine hundred forty-five million, eight hundred ninety-six thousand, eight hundred".