2221552320 has 168 divisors, whose sum is σ = 7638294096. Its totient is φ = 546803712.

The previous prime is 2221552309. The next prime is 2221552357. The reversal of 2221552320 is 232551222.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 155394 + ... + 169086.

Almost surely, 2^2221552320 is an apocalyptic number.

2221552320 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 2221552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819147048).

2221552320 is an abundant number, since it is smaller than the sum of its proper divisors (5416741776).

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

2221552320 is a wasteful number, since it uses less digits than its factorization.

2221552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13716 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2221552320 is about 47133.3461574711. The cubic root of 2221552320 is about 1304.8247382843.

The spelling of 2221552320 in words is "two billion, two hundred twenty-one million, five hundred fifty-two thousand, three hundred twenty".