2211727680 has 392 divisors, whose sum is σ = 8328660000. Its totient is φ = 557632512.

The previous prime is 2211727649. The next prime is 2211727711. The reversal of 2211727680 is 867271122.

It is an interprime number because it is at equal distance from previous prime (2211727649) and next prime (2211727711).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4432071 + ... + 4432569.

Almost surely, 2^2211727680 is an apocalyptic number.

2211727680 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 2211727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164330000).

2211727680 is an abundant number, since it is smaller than the sum of its proper divisors (6116932320).

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

2211727680 is an equidigital number, since it uses as much as digits as its factorization.

2211727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2211727680 is about 47029.0089200272. The cubic root of 2211727680 is about 1302.8984009491.

The spelling of 2211727680 in words is "two billion, two hundred eleven million, seven hundred twenty-seven thousand, six hundred eighty".