2050644960 has 288 divisors, whose sum is σ = 8613259200. Its totient is φ = 432635904.

The previous prime is 2050644917. The next prime is 2050644979. The reversal of 2050644960 is 694460502.

2050644960 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 644 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123216 + ... + 138864.

It is an arithmetic number, because the mean of its divisors is an integer number (29907150).

Almost surely, 2^2050644960 is an apocalyptic number.

2050644960 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 2050644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4306629600).

2050644960 is an abundant number, since it is smaller than the sum of its proper divisors (6562614240).

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

2050644960 is a wasteful number, since it uses less digits than its factorization.

2050644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15690 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2050644960 is about 45284.0475222787. The cubic root of 2050644960 is about 1270.4673007023.

The spelling of 2050644960 in words is "two billion, fifty million, six hundred forty-four thousand, nine hundred sixty".