2966472360 has 96 divisors (see below), whose sum is σ = 9660573000. Its totient is φ = 789456384.

The previous prime is 2966472359. The next prime is 2966472361. The reversal of 2966472360 is 632746692.

It is an interprime number because it is at equal distance from previous prime (2966472359) and next prime (2966472361).

It can be written as a sum of positive squares in 4 ways, for example, as 2697971364 + 268500996 = 51942^2 + 16386^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2966472361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175146 + ... + 191334.

Almost surely, 2^2966472360 is an apocalyptic number.

2966472360 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 2966472360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830286500).

2966472360 is an abundant number, since it is smaller than the sum of its proper divisors (6694100640).

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

2966472360 is a wasteful number, since it uses less digits than its factorization.

2966472360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16715 (or 16708 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2966472360 is about 54465.3317257868. The cubic root of 2966472360 is about 1436.8566271272.

The spelling of 2966472360 in words is "two billion, nine hundred sixty-six million, four hundred seventy-two thousand, three hundred sixty".