268006002 has 32 divisors (see below), whose sum is σ = 588686400. Its totient is φ = 80665920.

The previous prime is 268005989. The next prime is 268006007. The reversal of 268006002 is 200600862.

It is not an unprimeable number, because it can be changed into a prime (268006007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3793 + ... + 23460.

It is an arithmetic number, because the mean of its divisors is an integer number (18396450).

Almost surely, 2^268006002 is an apocalyptic number.

268006002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

268006002 is an abundant number, since it is smaller than the sum of its proper divisors (320680398).

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

268006002 is a wasteful number, since it uses less digits than its factorization.

268006002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27418.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 268006002 is about 16370.8888579698. Note that the first 4 decimals coincide. The cubic root of 268006002 is about 644.7353857168.

Adding to 268006002 its reverse (200600862), we get a palindrome (468606864).

The spelling of 268006002 in words is "two hundred sixty-eight million, six thousand, two".