2002764 has 48 divisors (see below), whose sum is σ = 4935168. Its totient is φ = 631488.

The previous prime is 2002747. The next prime is 2002783. The reversal of 2002764 is 4672002.

It is a happy number.

It is a super-2 number, since 2×2002764² = 8022127279392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002764.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29859 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

2^2002764 is an apocalyptic number.

It is an amenable number.

2002764 is an abundant number, since it is smaller than the sum of its proper divisors (2932404).

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

2002764 is a wasteful number, since it uses less digits than its factorization.

2002764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2002764 is about 1415.1904465477. The cubic root of 2002764 is about 126.0501186358.

Adding to 2002764 its reverse (4672002), we get a palindrome (6674766).

The spelling of 2002764 in words is "two million, two thousand, seven hundred sixty-four".