2059727616 has 180 divisors, whose sum is σ = 6504126552. Its totient is φ = 646078464.

The previous prime is 2059727587. The next prime is 2059727627. The reversal of 2059727616 is 6167279502.

2059727616 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 7 + 27 + 616 = 666.

It is a super-2 number, since 2×2059727616² = 8484955704226086912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 349591 + ... + 355433.

Almost surely, 2^2059727616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252063276).

2059727616 is an abundant number, since it is smaller than the sum of its proper divisors (4444398936).

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

2059727616 is an equidigital number, since it uses as much as digits as its factorization.

2059727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2059727616 is about 45384.2221041630. Note that the first 3 decimals coincide. The cubic root of 2059727616 is about 1272.3402436198.

The spelling of 2059727616 in words is "two billion, fifty-nine million, seven hundred twenty-seven thousand, six hundred sixteen".