1329722240 has 256 divisors, whose sum is σ = 4013936640. Its totient is φ = 412600320.

The previous prime is 1329722231. The next prime is 1329722263. The reversal of 1329722240 is 422279231.

It is a super-2 number, since 2×1329722240² = 3536322471101235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1329722197 and 1329722206.

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, 5962769 + ... + 5962991.

It is an arithmetic number, because the mean of its divisors is an integer number (15679440).

Almost surely, 2^1329722240 is an apocalyptic number.

1329722240 is a gapful number since it is divisible by the number (10) 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 1329722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006968320).

1329722240 is an abundant number, since it is smaller than the sum of its proper divisors (2684214400).

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

1329722240 is an equidigital number, since it uses as much as digits as its factorization.

1329722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 1329722240 is about 36465.3567101708. The cubic root of 1329722240 is about 1099.6478872999.

The spelling of 1329722240 in words is "one billion, three hundred twenty-nine million, seven hundred twenty-two thousand, two hundred forty".