2079866880 has 720 divisors, whose sum is σ = 9160080384. Its totient is φ = 424673280.

The previous prime is 2079866861. The next prime is 2079866881. The reversal of 2079866880 is 886689702.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2079866881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67092465 + ... + 67092495.

Almost surely, 2^2079866880 is an apocalyptic number.

2079866880 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 2079866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580040192).

2079866880 is an abundant number, since it is smaller than the sum of its proper divisors (7080213504).

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

2079866880 is a wasteful number, since it uses less digits than its factorization.

2079866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2079866880 is about 45605.5575560699. The cubic root of 2079866880 is about 1276.4736271727.

It can be divided in two parts, 20798 and 66880, that added together give a palindrome (87678).

The spelling of 2079866880 in words is "two billion, seventy-nine million, eight hundred sixty-six thousand, eight hundred eighty".