2080268580 has 384 divisors, whose sum is σ = 7315660800. Its totient is φ = 435511296.

The previous prime is 2080268569. The next prime is 2080268581. The reversal of 2080268580 is 858620802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2080268581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5794441 + ... + 5794799.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^2080268580 is an apocalyptic number.

2080268580 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 2080268580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657830400).

2080268580 is an abundant number, since it is smaller than the sum of its proper divisors (5235392220).

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

2080268580 is a wasteful number, since it uses less digits than its factorization.

2080268580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2080268580 is about 45609.9614119547. The cubic root of 2080268580 is about 1276.5558001318. Note that the first 3 decimals are identical.

The spelling of 2080268580 in words is "two billion, eighty million, two hundred sixty-eight thousand, five hundred eighty".