2047205160 has 1152 divisors, whose sum is σ = 9866188800. Its totient is φ = 355829760.

The previous prime is 2047205113. The next prime is 2047205177. The reversal of 2047205160 is 615027402.

2047205160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89008909 + ... + 89008931.

It is an arithmetic number, because the mean of its divisors is an integer number (8564400).

Almost surely, 2^2047205160 is an apocalyptic number.

2047205160 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 2047205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933094400).

2047205160 is an abundant number, since it is smaller than the sum of its proper divisors (7818983640).

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

2047205160 is a wasteful number, since it uses less digits than its factorization.

2047205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2047205160 is about 45246.0513194245. The cubic root of 2047205160 is about 1269.7565325752.

The spelling of 2047205160 in words is "two billion, forty-seven million, two hundred five thousand, one hundred sixty".