2050807030272 has 1680 divisors, whose sum is σ = 8327899272000. Its totient is φ = 490716610560.

The previous prime is 2050807030193. The next prime is 2050807030303. The reversal of 2050807030272 is 2720307080502.

It is a happy number.

2050807030272 is a `hidden beast` number, since 205 + 0 + 80 + 7 + 0 + 302 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4109833479 + ... + 4109833977.

It is an arithmetic number, because the mean of its divisors is an integer number (4957082900).

Almost surely, 2^{2050807030272} is an apocalyptic number.

2050807030272 is a gapful number since it is divisible by the number (22) 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 2050807030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163949636000).

2050807030272 is an abundant number, since it is smaller than the sum of its proper divisors (6277092241728).

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

2050807030272 is an equidigital number, since it uses as much as digits as its factorization.

2050807030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2050807030272 in words is "two trillion, fifty billion, eight hundred seven million, thirty thousand, two hundred seventy-two".