2274277824 has 336 divisors, whose sum is σ = 8325477888. Its totient is φ = 599436288.

The previous prime is 2274277813. The next prime is 2274277861. The reversal of 2274277824 is 4287724722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2274277824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1414429 + ... + 1416035.

It is an arithmetic number, because the mean of its divisors is an integer number (24778208).

Almost surely, 2^2274277824 is an apocalyptic number.

2274277824 is a gapful number since it is divisible by the number (24) 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 2274277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162738944).

2274277824 is an abundant number, since it is smaller than the sum of its proper divisors (6051200064).

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

2274277824 is a wasteful number, since it uses less digits than its factorization.

2274277824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1632 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The square root of 2274277824 is about 47689.3890084576. The cubic root of 2274277824 is about 1315.0668760776.

The spelling of 2274277824 in words is "two billion, two hundred seventy-four million, two hundred seventy-seven thousand, eight hundred twenty-four".