2972221200 has 360 divisors, whose sum is σ = 11386120200. Its totient is φ = 713318400.

The previous prime is 2972221199. The next prime is 2972221247. The reversal of 2972221200 is 21222792.

It can be written as a sum of positive squares in 12 ways, for example, as 2346821136 + 625400064 = 48444^2 + 25008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1918026 + ... + 1919574.

Almost surely, 2^2972221200 is an apocalyptic number.

2972221200 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 2972221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693060100).

2972221200 is an abundant number, since it is smaller than the sum of its proper divisors (8413899000).

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

2972221200 is a wasteful number, since it uses less digits than its factorization.

2972221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2972221200 is about 54518.0814042461. The cubic root of 2972221200 is about 1437.7842079518.

Adding to 2972221200 its reverse (21222792), we get a palindrome (2993443992).

The spelling of 2972221200 in words is "two billion, nine hundred seventy-two million, two hundred twenty-one thousand, two hundred".