2024242400409 has 16 divisors (see below), whose sum is σ = 2860102260288. Its totient is φ = 1269069197312.

The previous prime is 2024242400399. The next prime is 2024242400459. The reversal of 2024242400409 is 9040042424202.

It is a cyclic number.

It is not a de Polignac number, because 2024242400409 - 2⁵ = 2024242400377 is a prime.

It is a super-2 number, since 2×2024242400409² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2024242400409.

It is not an unprimeable number, because it can be changed into a prime (2024242400459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16244847 + ... + 16368980.

It is an arithmetic number, because the mean of its divisors is an integer number (178756391268).

Almost surely, 2^{2024242400409} is an apocalyptic number.

It is an amenable number.

2024242400409 is a deficient number, since it is larger than the sum of its proper divisors (835859859879).

2024242400409 is a wasteful number, since it uses less digits than its factorization.

2024242400409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32615064.

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 2024242400409 in words is "two trillion, twenty-four billion, two hundred forty-two million, four hundred thousand, four hundred nine".