2722016000 has 432 divisors, whose sum is σ = 8057693280. Its totient is φ = 912384000.

The previous prime is 2722015997. The next prime is 2722016023. The reversal of 2722016000 is 6102272.

It is a super-2 number, since 2×2722016000² = 14818742208512000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73567982 + ... + 73568018.

Almost surely, 2^2722016000 is an apocalyptic number.

2722016000 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 2722016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028846640).

2722016000 is an abundant number, since it is smaller than the sum of its proper divisors (5335677280).

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

2722016000 is a wasteful number, since it uses less digits than its factorization.

2722016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2722016000 is about 52172.9431793914. The cubic root of 2722016000 is about 1396.2511952087.

Adding to 2722016000 its reverse (6102272), we get a palindrome (2728118272).

The spelling of 2722016000 in words is "two billion, seven hundred twenty-two million, sixteen thousand".