2879491200 has 192 divisors, whose sum is σ = 9812318400. Its totient is φ = 741314560.

The previous prime is 2879491183. The next prime is 2879491201. The reversal of 2879491200 is 21949782.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2879491201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273229 + ... + 283571.

It is an arithmetic number, because the mean of its divisors is an integer number (51105825).

Almost surely, 2^2879491200 is an apocalyptic number.

2879491200 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 2879491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906159200).

2879491200 is an abundant number, since it is smaller than the sum of its proper divisors (6932827200).

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

2879491200 is a wasteful number, since it uses less digits than its factorization.

2879491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2879491200 is about 53660.8907864937. The cubic root of 2879491200 is about 1422.6735322637.

The spelling of 2879491200 in words is "two billion, eight hundred seventy-nine million, four hundred ninety-one thousand, two hundred".