2086801920 has 640 divisors, whose sum is σ = 8956569600. Its totient is φ = 449888256.

The previous prime is 2086801919. The next prime is 2086801931. The reversal of 2086801920 is 291086802.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9192847 + ... + 9193073.

It is an arithmetic number, because the mean of its divisors is an integer number (13994640).

Almost surely, 2^2086801920 is an apocalyptic number.

2086801920 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 2086801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478284800).

2086801920 is an abundant number, since it is smaller than the sum of its proper divisors (6869767680).

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

2086801920 is a wasteful number, since it uses less digits than its factorization.

2086801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2086801920 is about 45681.5271198326. The cubic root of 2086801920 is about 1277.8907971669.

The spelling of 2086801920 in words is "two billion, eighty-six million, eight hundred one thousand, nine hundred twenty".