2509642 has 16 divisors (see below), whose sum is σ = 4015872. Its totient is φ = 1172160.

The previous prime is 2509627. The next prime is 2509649. The reversal of 2509642 is 2469052.

It is a self number, because there is not a number n which added to its sum of digits gives 2509642.

It is not an unprimeable number, because it can be changed into a prime (2509649) 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, 7417 + ... + 7747.

It is an arithmetic number, because the mean of its divisors is an integer number (250992).

2^2509642 is an apocalyptic number.

2509642 is a deficient number, since it is larger than the sum of its proper divisors (1506230).

2509642 is a wasteful number, since it uses less digits than its factorization.

2509642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2509642 is about 1584.1849639483. The cubic root of 2509642 is about 135.8951397585.

The spelling of 2509642 in words is "two million, five hundred nine thousand, six hundred forty-two".