2772228096 has 288 divisors, whose sum is σ = 8884708560. Its totient is φ = 832634880.

The previous prime is 2772228091. The next prime is 2772228101. The reversal of 2772228096 is 6908222772.

It is an interprime number because it is at equal distance from previous prime (2772228091) and next prime (2772228101).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772228091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532936 + ... + 24533048.

Almost surely, 2^2772228096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442354280).

2772228096 is an abundant number, since it is smaller than the sum of its proper divisors (6112480464).

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

2772228096 is a wasteful number, since it uses less digits than its factorization.

2772228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2772228096 is about 52651.9524424309. The cubic root of 2772228096 is about 1404.7843281201.

The spelling of 2772228096 in words is "two billion, seven hundred seventy-two million, two hundred twenty-eight thousand, ninety-six".