2006880222736 has 135 divisors (see below), whose sum is σ = 4197598179373. Its totient is φ = 929318464000.

The previous prime is 2006880222733. The next prime is 2006880222749. The reversal of 2006880222736 is 6372220886002.

The square root of 2006880222736 is 1416644.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1562450000400 + 444430222336 = 1249980^2 + 666656^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006880222733) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7995538611 + ... + 7995538861.

Almost surely, 2^{2006880222736} is an apocalyptic number.

2006880222736 is the 1416644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006880222736

2006880222736 is an abundant number, since it is smaller than the sum of its proper divisors (2190717956637).

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

2006880222736 is an frugal number, since it uses more digits than its factorization.

2006880222736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 2006880222736 in words is "two trillion, six billion, eight hundred eighty million, two hundred twenty-two thousand, seven hundred thirty-six".