2509668 has 72 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 684288.

The previous prime is 2509649. The next prime is 2509679. The reversal of 2509668 is 8669052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5580 + ... + 6012.

2^2509668 is an apocalyptic number.

2509668 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 2509668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2509668 is an abundant number, since it is smaller than the sum of its proper divisors (5073180).

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

2509668 is a wasteful number, since it uses less digits than its factorization.

2509668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2509668 is about 1584.1931700396. The cubic root of 2509668 is about 135.8956090501.

The spelling of 2509668 in words is "two million, five hundred nine thousand, six hundred sixty-eight".