2283461376 has 144 divisors (see below), whose sum is σ = 6975763200. Its totient is φ = 649580544.

The previous prime is 2283461359. The next prime is 2283461377. The reversal of 2283461376 is 6731643822.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (2283461377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445355 + ... + 1446933.

It is an arithmetic number, because the mean of its divisors is an integer number (48442800).

Almost surely, 2^2283461376 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 2283461376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487881600).

2283461376 is an abundant number, since it is smaller than the sum of its proper divisors (4692301824).

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

2283461376 is a wasteful number, since it uses less digits than its factorization.

2283461376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1860 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 2283461376 is about 47785.5770709113. The cubic root of 2283461376 is about 1316.8345823839.

The spelling of 2283461376 in words is "two billion, two hundred eighty-three million, four hundred sixty-one thousand, three hundred seventy-six".