2966814720 has 216 divisors, whose sum is σ = 10305365616. Its totient is φ = 789577728.

The previous prime is 2966814707. The next prime is 2966814737. The reversal of 2966814720 is 274186692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5897989 + ... + 5898491.

It is an arithmetic number, because the mean of its divisors is an integer number (47710026).

Almost surely, 2^2966814720 is an apocalyptic number.

2966814720 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 2966814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152682808).

2966814720 is an abundant number, since it is smaller than the sum of its proper divisors (7338550896).

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

2966814720 is an frugal number, since it uses more digits than its factorization.

2966814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2966814720 is about 54468.4745517992. The cubic root of 2966814720 is about 1436.9119007825.

It can be divided in two parts, 296681 and 4720, that added together give a square (301401 = 549²).

The spelling of 2966814720 in words is "two billion, nine hundred sixty-six million, eight hundred fourteen thousand, seven hundred twenty".