2809968 has 40 divisors (see below), whose sum is σ = 8297088. Its totient is φ = 802752.

The previous prime is 2809931. The next prime is 2809973. The reversal of 2809968 is 8699082.

It is a super-2 number, since 2×2809968² = 15791840322048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846 + ... + 4517.

2^2809968 is an apocalyptic number.

2809968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2809968 is an abundant number, since it is smaller than the sum of its proper divisors (5487120).

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

2809968 is a wasteful number, since it uses less digits than its factorization.

2809968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8381 (or 8375 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 2809968 is about 1676.2959165971. The cubic root of 2809968 is about 141.1130324458.

The spelling of 2809968 in words is "two million, eight hundred nine thousand, nine hundred sixty-eight".