2079206400 has 132 divisors (see below), whose sum is σ = 6872139272. Its totient is φ = 554434560.

The previous prime is 2079206263. The next prime is 2079206419. The reversal of 2079206400 is 46029702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63264 + ... + 90336.

Almost surely, 2^2079206400 is an apocalyptic number.

2079206400 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 2079206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436069636).

2079206400 is an abundant number, since it is smaller than the sum of its proper divisors (4792932872).

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

2079206400 is a wasteful number, since it uses less digits than its factorization.

2079206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27106 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2079206400 is about 45598.3157583698. The cubic root of 2079206400 is about 1276.3384943960.

The spelling of 2079206400 in words is "two billion, seventy-nine million, two hundred six thousand, four hundred".