2722019328 has 432 divisors, whose sum is σ = 9675141840. Its totient is φ = 721944576.

The previous prime is 2722019317. The next prime is 2722019353. The reversal of 2722019328 is 8239102272.

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

It is a junction number, because it is equal to n+sod(n) for n = 2722019292 and 2722019301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37287900 + ... + 37287972.

Almost surely, 2^2722019328 is an apocalyptic number.

2722019328 is a gapful number since it is divisible by the number (28) 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 2722019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837570920).

2722019328 is an abundant number, since it is smaller than the sum of its proper divisors (6953122512).

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

2722019328 is a wasteful number, since it uses less digits than its factorization.

2722019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2722019328 is about 52172.9750733078. The cubic root of 2722019328 is about 1396.2517642382.

The spelling of 2722019328 in words is "two billion, seven hundred twenty-two million, nineteen thousand, three hundred twenty-eight".