2246221680 has 160 divisors (see below), whose sum is σ = 7303728960. Its totient is φ = 570286080.

The previous prime is 2246221661. The next prime is 2246221739. The reversal of 2246221680 is 861226422.

2246221680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505870 + ... + 510290.

It is an arithmetic number, because the mean of its divisors is an integer number (45648306).

Almost surely, 2^2246221680 is an apocalyptic number.

2246221680 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 2246221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651864480).

2246221680 is an abundant number, since it is smaller than the sum of its proper divisors (5057507280).

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

2246221680 is a wasteful number, since it uses less digits than its factorization.

2246221680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2246221680 is about 47394.3211788079. The cubic root of 2246221680 is about 1309.6368047003.

The spelling of 2246221680 in words is "two billion, two hundred forty-six million, two hundred twenty-one thousand, six hundred eighty".