2274835968 has 160 divisors (see below), whose sum is σ = 6822182400. Its totient is φ = 748320768.

The previous prime is 2274835967. The next prime is 2274836023. The reversal of 2274835968 is 8695384722.

2274835968 is a `hidden beast` number, since 2 + 2 + 7 + 48 + 3 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274835967) 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, 1091055 + ... + 1093137.

It is an arithmetic number, because the mean of its divisors is an integer number (42638640).

Almost surely, 2^2274835968 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 2274835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411091200).

2274835968 is an abundant number, since it is smaller than the sum of its proper divisors (4547346432).

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

2274835968 is an equidigital number, since it uses as much as digits as its factorization.

2274835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2167 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 2274835968 is about 47695.2405172675. The cubic root of 2274835968 is about 1315.1744467303.

The spelling of 2274835968 in words is "two billion, two hundred seventy-four million, eight hundred thirty-five thousand, nine hundred sixty-eight".