2050778160 has 120 divisors (see below), whose sum is σ = 6905343744. Its totient is φ = 545433600.

The previous prime is 2050778111. The next prime is 2050778179. The reversal of 2050778160 is 618770502.

2050778160 is a `hidden beast` number, since 20 + 507 + 78 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285169 + ... + 292271.

Almost surely, 2^2050778160 is an apocalyptic number.

2050778160 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 2050778160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452671872).

2050778160 is an abundant number, since it is smaller than the sum of its proper divisors (4854565584).

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

2050778160 is a wasteful number, since it uses less digits than its factorization.

2050778160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2050778160 is about 45285.5182149879. The cubic root of 2050778160 is about 1270.4948079149.

The spelling of 2050778160 in words is "two billion, fifty million, seven hundred seventy-eight thousand, one hundred sixty".