2079475200 has 480 divisors, whose sum is σ = 8341787520. Its totient is φ = 503193600.

The previous prime is 2079475199. The next prime is 2079475213. The reversal of 2079475200 is 25749702.

2079475200 is a `hidden beast` number, since 20 + 79 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3801327 + ... + 3801873.

It is an arithmetic number, because the mean of its divisors is an integer number (17378724).

Almost surely, 2^2079475200 is an apocalyptic number.

2079475200 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 2079475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170893760).

2079475200 is an abundant number, since it is smaller than the sum of its proper divisors (6262312320).

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

2079475200 is a wasteful number, since it uses less digits than its factorization.

2079475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2079475200 is about 45601.2631404000. The cubic root of 2079475200 is about 1276.3934937463.

The spelling of 2079475200 in words is "two billion, seventy-nine million, four hundred seventy-five thousand, two hundred".