2080895040 has 336 divisors, whose sum is σ = 8233550208. Its totient is φ = 472522752.

The previous prime is 2080895039. The next prime is 2080895171. The reversal of 2080895040 is 405980802.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2080894986 and 2080895004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4697059 + ... + 4697501.

Almost surely, 2^2080895040 is an apocalyptic number.

2080895040 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 2080895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116775104).

2080895040 is an abundant number, since it is smaller than the sum of its proper divisors (6152655168).

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

2080895040 is a wasteful number, since it uses less digits than its factorization.

2080895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2080895040 is about 45616.8284737113. The cubic root of 2080895040 is about 1276.6839295621.

The spelling of 2080895040 in words is "two billion, eighty million, eight hundred ninety-five thousand, forty".