2276968320 has 480 divisors, whose sum is σ = 8969196600. Its totient is φ = 551992320.

The previous prime is 2276968319. The next prime is 2276968327. The reversal of 2276968320 is 238696722.

2276968320 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2276968327) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206997115 + ... + 206997125.

Almost surely, 2^2276968320 is an apocalyptic number.

2276968320 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 2276968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4484598300).

2276968320 is an abundant number, since it is smaller than the sum of its proper divisors (6692228280).

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

2276968320 is an frugal number, since it uses more digits than its factorization.

2276968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2276968320 is about 47717.5892098501. The cubic root of 2276968320 is about 1315.5852513046.

The spelling of 2276968320 in words is "two billion, two hundred seventy-six million, nine hundred sixty-eight thousand, three hundred twenty".