2822976 has 126 divisors (see below), whose sum is σ = 9063990. Its totient is φ = 838656.

The previous prime is 2822971. The next prime is 2822987. The reversal of 2822976 is 6792282.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 2822400 = 24^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2822976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97330 + ... + 97358.

2^2822976 is an apocalyptic number.

2822976 is a gapful number since it is divisible by the number (26) 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 2822976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4531995).

2822976 is an abundant number, since it is smaller than the sum of its proper divisors (6241014).

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

2822976 is a wasteful number, since it uses less digits than its factorization.

2822976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2822976 is about 1680.1714198260. The cubic root of 2822976 is about 141.3304457303.

The spelling of 2822976 in words is "two million, eight hundred twenty-two thousand, nine hundred seventy-six".