2050428764160 has 1520 divisors, whose sum is σ = 8769769620480. Its totient is φ = 448454983680.

The previous prime is 2050428764141. The next prime is 2050428764171. The reversal of 2050428764160 is 614678240502.

2050428764160 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 428 + 7 + 64 + 160 = 666.

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 79 ways as a sum of consecutive naturals, for example, 23038525396 + ... + 23038525484.

Almost surely, 2^{2050428764160} is an apocalyptic number.

2050428764160 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 2050428764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384884810240).

2050428764160 is an abundant number, since it is smaller than the sum of its proper divisors (6719340856320).

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

2050428764160 is an frugal number, since it uses more digits than its factorization.

2050428764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2050428764160 in words is "two trillion, fifty billion, four hundred twenty-eight million, seven hundred sixty-four thousand, one hundred sixty".