2945998880 has 96 divisors (see below), whose sum is σ = 7629588288. Its totient is φ = 1066060800.

The previous prime is 2945998831. The next prime is 2945998883. The reversal of 2945998880 is 888995492.

It is a super-2 number, since 2×2945998880² = 17357818801922508800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2945998883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367394 + ... + 375326.

It is an arithmetic number, because the mean of its divisors is an integer number (79474878).

Almost surely, 2^2945998880 is an apocalyptic number.

2945998880 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 2945998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814794144).

2945998880 is an abundant number, since it is smaller than the sum of its proper divisors (4683589408).

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

2945998880 is a wasteful number, since it uses less digits than its factorization.

2945998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The square root of 2945998880 is about 54277.0566630137. The cubic root of 2945998880 is about 1433.5434447107.

The spelling of 2945998880 in words is "two billion, nine hundred forty-five million, nine hundred ninety-eight thousand, eight hundred eighty".