2282964 has 72 divisors (see below), whose sum is σ = 6144768. Its totient is φ = 656640.

The previous prime is 2282963. The next prime is 2282971. The reversal of 2282964 is 4692822.

2282964 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (13824) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282963) 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 23 ways as a sum of consecutive naturals, for example, 73629 + ... + 73659.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

2^2282964 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 2282964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072384).

2282964 is an abundant number, since it is smaller than the sum of its proper divisors (3861804).

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

2282964 is a wasteful number, since it uses less digits than its factorization.

2282964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 2282964 is about 1510.9480467574. The cubic root of 2282964 is about 131.6738965924.

The spelling of 2282964 in words is "two million, two hundred eighty-two thousand, nine hundred sixty-four".