2272768896 has 128 divisors (see below), whose sum is σ = 6513760800. Its totient is φ = 699465728.

The previous prime is 2272768891. The next prime is 2272768903. The reversal of 2272768896 is 6988672722.

It is a happy number.

2272768896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272768891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342700 + ... + 349268.

Almost surely, 2^2272768896 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 2272768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256880400).

2272768896 is an abundant number, since it is smaller than the sum of its proper divisors (4240991904).

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

2272768896 is a wasteful number, since it uses less digits than its factorization.

2272768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6644 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 2272768896 is about 47673.5660088481. The cubic root of 2272768896 is about 1314.7759734409.

The spelling of 2272768896 in words is "two billion, two hundred seventy-two million, seven hundred sixty-eight thousand, eight hundred ninety-six".