2079456200 has 96 divisors (see below), whose sum is σ = 4903212960. Its totient is φ = 820108800.

The previous prime is 2079456193. The next prime is 2079456227. The reversal of 2079456200 is 26549702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7400060 + ... + 7400340.

It is an arithmetic number, because the mean of its divisors is an integer number (51075135).

Almost surely, 2^2079456200 is an apocalyptic number.

2079456200 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 2079456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451606480).

2079456200 is an abundant number, since it is smaller than the sum of its proper divisors (2823756760).

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

2079456200 is a wasteful number, since it uses less digits than its factorization.

2079456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2079456200 is about 45601.0548123615. The cubic root of 2079456200 is about 1276.3896062991.

The spelling of 2079456200 in words is "two billion, seventy-nine million, four hundred fifty-six thousand, two hundred".