2050123680 has 288 divisors, whose sum is σ = 7896994560. Its totient is φ = 479754240.

The previous prime is 2050123627. The next prime is 2050123723. The reversal of 2050123680 is 863210502.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457129 + ... + 461591.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 2^2050123680 is an apocalyptic number.

2050123680 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 2050123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2050123680 is an abundant number, since it is smaller than the sum of its proper divisors (5846870880).

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

2050123680 is a wasteful number, since it uses less digits than its factorization.

2050123680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2050123680 is about 45278.2914872017. The cubic root of 2050123680 is about 1270.3596394003.

The spelling of 2050123680 in words is "two billion, fifty million, one hundred twenty-three thousand, six hundred eighty".