2502768 has 40 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 797632.

The previous prime is 2502767. The next prime is 2502779. The reversal of 2502768 is 8672052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 2237.

2^2502768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2502768 is an abundant number, since it is smaller than the sum of its proper divisors (4246800).

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

2502768 is a wasteful number, since it uses less digits than its factorization.

2502768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2502768 is about 1582.0139063864. The cubic root of 2502768 is about 135.7709524076.

The spelling of 2502768 in words is "two million, five hundred two thousand, seven hundred sixty-eight".