2059778160 has 600 divisors, whose sum is σ = 8189663328. Its totient is φ = 479001600.

The previous prime is 2059778129. The next prime is 2059778173. The reversal of 2059778160 is 618779502.

2059778160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29010925 + ... + 29010995.

Almost surely, 2^2059778160 is an apocalyptic number.

2059778160 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 2059778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094831664).

2059778160 is an abundant number, since it is smaller than the sum of its proper divisors (6129885168).

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

2059778160 is a wasteful number, since it uses less digits than its factorization.

2059778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 2059778160 is about 45384.7789462503. The cubic root of 2059778160 is about 1272.3506509245.

The spelling of 2059778160 in words is "two billion, fifty-nine million, seven hundred seventy-eight thousand, one hundred sixty".