2989191200 has 54 divisors (see below), whose sum is σ = 7301140119. Its totient is φ = 1195057920.

The previous prime is 2989191199. The next prime is 2989191217. The reversal of 2989191200 is 21919892.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1623445264 + 1365745936 = 40292^2 + 36956^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=38660.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1545434 + ... + 1547366.

Almost surely, 2^2989191200 is an apocalyptic number.

2989191200 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 2989191200

2989191200 is an abundant number, since it is smaller than the sum of its proper divisors (4311948919).

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

2989191200 is an frugal number, since it uses more digits than its factorization.

2989191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 2989191200 is about 54673.4963213439. The cubic root of 2989191200 is about 1440.5153762244.

Multiplying 2989191200 by its product of nonzero digits (23328), we get a square (69731852313600 = 8350560²).

The spelling of 2989191200 in words is "two billion, nine hundred eighty-nine million, one hundred ninety-one thousand, two hundred".