2002768 has 40 divisors (see below), whose sum is σ = 4124736. Its totient is φ = 940800.

The previous prime is 2002747. The next prime is 2002783. The reversal of 2002768 is 8672002.

It is a super-2 number, since 2×2002768² = 8022159323648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28173 + ... + 28243.

2^2002768 is an apocalyptic number.

It is an amenable number.

2002768 is an abundant number, since it is smaller than the sum of its proper divisors (2121968).

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

2002768 is a wasteful number, since it uses less digits than its factorization.

2002768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2002768 is about 1415.1918597844. The cubic root of 2002768 is about 126.0502025532.

The spelling of 2002768 in words is "two million, two thousand, seven hundred sixty-eight".