2079907200 has 768 divisors, whose sum is σ = 9207744000. Its totient is φ = 447897600.

The previous prime is 2079907199. The next prime is 2079907213. The reversal of 2079907200 is 27099702.

It is a super-2 number, since 2×2079907200² = 8652027921223680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491110 + ... + 11491290.

It is an arithmetic number, because the mean of its divisors is an integer number (11989250).

Almost surely, 2^2079907200 is an apocalyptic number.

2079907200 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 2079907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872000).

2079907200 is an abundant number, since it is smaller than the sum of its proper divisors (7127836800).

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

2079907200 is a wasteful number, since it uses less digits than its factorization.

2079907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2079907200 is about 45605.9996053151. Note that the first 3 decimals coincide. The cubic root of 2079907200 is about 1276.4818756307.

Adding to 2079907200 its sum of digits (36), we get a square (2079907236 = 45606²).

The spelling of 2079907200 in words is "two billion, seventy-nine million, nine hundred seven thousand, two hundred".