2979200000 has 396 divisors, whose sum is σ = 9114963480. Its totient is φ = 967680000.

The previous prime is 2979199999. The next prime is 2979200009. The reversal of 2979200000 is 29792.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979200009) 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 35 ways as a sum of consecutive naturals, for example, 156799991 + ... + 156800009.

Almost surely, 2^2979200000 is an apocalyptic number.

2979200000 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 2979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557481740).

2979200000 is an abundant number, since it is smaller than the sum of its proper divisors (6135763480).

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

2979200000 is an frugal number, since it uses more digits than its factorization.

2979200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 2979200000 is about 54582.0483309302. The cubic root of 2979200000 is about 1438.9086380970.

Adding to 2979200000 its reverse (29792), we get a palindrome (2979229792).

2979200000 divided by its reverse (29792) gives a 5-th power (100000 = 10⁵).

The spelling of 2979200000 in words is "two billion, nine hundred seventy-nine million, two hundred thousand".