2085446880 has 432 divisors, whose sum is σ = 8080620912. Its totient is φ = 485683200.

The previous prime is 2085446851. The next prime is 2085446893. The reversal of 2085446880 is 886445802.

2085446880 is a `hidden beast` number, since 20 + 8 + 544 + 6 + 8 + 80 = 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 71 ways as a sum of consecutive naturals, for example, 15222172 + ... + 15222308.

It is an arithmetic number, because the mean of its divisors is an integer number (18705141).

Almost surely, 2^2085446880 is an apocalyptic number.

2085446880 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 2085446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040310456).

2085446880 is an abundant number, since it is smaller than the sum of its proper divisors (5995174032).

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

2085446880 is a wasteful number, since it uses less digits than its factorization.

2085446880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2085446880 is about 45666.6933333255. The cubic root of 2085446880 is about 1277.6141428822.

The spelling of 2085446880 in words is "two billion, eighty-five million, four hundred forty-six thousand, eight hundred eighty".