2642409 has 64 divisors (see below), whose sum is σ = 5160960. Its totient is φ = 1296000.

The previous prime is 2642389. The next prime is 2642449. The reversal of 2642409 is 9042462.

2642409 = 25³ + 26³ + ... + 57³.

It is not a de Polignac number, because 2642409 - 2¹¹ = 2640361 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2642449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64429 + ... + 64469.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^2642409 is an apocalyptic number.

It is an amenable number.

2642409 is a deficient number, since it is larger than the sum of its proper divisors (2518551).

2642409 is a wasteful number, since it uses less digits than its factorization.

2642409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2642409 is about 1625.5488303954. The cubic root of 2642409 is about 138.2504902280.

It can be divided in two parts, 2 and 642409, that added together give a triangular number (642411 = T₁₁₃₃).

The spelling of 2642409 in words is "two million, six hundred forty-two thousand, four hundred nine".