2722028100 has 288 divisors, whose sum is σ = 9195161472. Its totient is φ = 619520000.

The previous prime is 2722028059. The next prime is 2722028107. The reversal of 2722028100 is 18202272.

It is a happy number.

It is a super-2 number, since 2×2722028100² = 14818873954379220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2722028107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6787900 + ... + 6788300.

It is an arithmetic number, because the mean of its divisors is an integer number (31927644).

Almost surely, 2^2722028100 is an apocalyptic number.

2722028100 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 2722028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597580736).

2722028100 is an abundant number, since it is smaller than the sum of its proper divisors (6473133372).

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

2722028100 is a wasteful number, since it uses less digits than its factorization.

2722028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2722028100 is about 52173.0591397514. The cubic root of 2722028100 is about 1396.2532640937.

The spelling of 2722028100 in words is "two billion, seven hundred twenty-two million, twenty-eight thousand, one hundred".