2220079680 has 672 divisors, whose sum is σ = 9665720064. Its totient is φ = 455196672.

The previous prime is 2220079679. The next prime is 2220079703. The reversal of 2220079680 is 869700222.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 11269342 + ... + 11269538.

It is an arithmetic number, because the mean of its divisors is an integer number (14383512).

Almost surely, 2^2220079680 is an apocalyptic number.

2220079680 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 2220079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832860032).

2220079680 is an abundant number, since it is smaller than the sum of its proper divisors (7445640384).

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

2220079680 is a wasteful number, since it uses less digits than its factorization.

2220079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2220079680 is about 47117.7215068810. The cubic root of 2220079680 is about 1304.5363570730.

The spelling of 2220079680 in words is "two billion, two hundred twenty million, seventy-nine thousand, six hundred eighty".