2602768 has 40 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 1049088.

The previous prime is 2602741. The next prime is 2602771. The reversal of 2602768 is 8672062.

It is a happy number.

2602768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1221 + ... + 2587.

2^2602768 is an apocalyptic number.

2602768 is a gapful number since it is divisible by the number (28) 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 2602768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2602768 is an abundant number, since it is smaller than the sum of its proper divisors (3503984).

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

2602768 is a wasteful number, since it uses less digits than its factorization.

2602768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2602768 is about 1613.3096416993. The cubic root of 2602768 is about 137.5556667166. Note that the first 3 decimals are identical.

The spelling of 2602768 in words is "two million, six hundred two thousand, seven hundred sixty-eight".