2050341984 has 480 divisors, whose sum is σ = 7025356800. Its totient is φ = 582266880.

The previous prime is 2050341977. The next prime is 2050342031. The reversal of 2050341984 is 4891430502.

2050341984 is a `hidden beast` number, since 20 + 503 + 41 + 98 + 4 = 666.

2050341984 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 (36).

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, 25953657 + ... + 25953735.

It is an arithmetic number, because the mean of its divisors is an integer number (14636160).

Almost surely, 2^2050341984 is an apocalyptic number.

2050341984 is a gapful number since it is divisible by the number (24) 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 2050341984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512678400).

2050341984 is an abundant number, since it is smaller than the sum of its proper divisors (4975014816).

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

2050341984 is a wasteful number, since it uses less digits than its factorization.

2050341984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2050341984 is about 45280.7021146978. The cubic root of 2050341984 is about 1270.4047285089.

It can be divided in two parts, 2050341 and 984, that added together give a triangular number (2051325 = T₂₀₂₅).

The spelling of 2050341984 in words is "two billion, fifty million, three hundred forty-one thousand, nine hundred eighty-four".