2966812800 has 768 divisors, whose sum is σ = 12293856000. Its totient is φ = 626196480.

The previous prime is 2966812799. The next prime is 2966812841. The reversal of 2966812800 is 82186692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55977574 + ... + 55977626.

It is an arithmetic number, because the mean of its divisors is an integer number (16007625).

Almost surely, 2^2966812800 is an apocalyptic number.

2966812800 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 2966812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146928000).

2966812800 is an abundant number, since it is smaller than the sum of its proper divisors (9327043200).

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

2966812800 is a wasteful number, since it uses less digits than its factorization.

2966812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2966812800 is about 54468.4569269224. The cubic root of 2966812800 is about 1436.9115908124.

The spelling of 2966812800 in words is "two billion, nine hundred sixty-six million, eight hundred twelve thousand, eight hundred".