2966906880 has 720 divisors, whose sum is σ = 12539987460. Its totient is φ = 668860416.

The previous prime is 2966906879. The next prime is 2966906941. The reversal of 2966906880 is 886096692.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 4064256 = 54432^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642524 + ... + 40642596.

Almost surely, 2^2966906880 is an apocalyptic number.

2966906880 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 2966906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269993730).

2966906880 is an abundant number, since it is smaller than the sum of its proper divisors (9573080580).

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

2966906880 is an equidigital number, since it uses as much as digits as its factorization.

2966906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2966906880 is about 54469.3205391806. The cubic root of 2966906880 is about 1436.9267791894.

The spelling of 2966906880 in words is "two billion, nine hundred sixty-six million, nine hundred six thousand, eight hundred eighty".