2400365405 has 32 divisors (see below), whose sum is σ = 3090493440. Its totient is φ = 1783434240.

The previous prime is 2400365369. The next prime is 2400365411. The reversal of 2400365405 is 5045630042.

It is not a de Polignac number, because 2400365405 - 2²² = 2396171101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471570 + ... + 2472540.

It is an arithmetic number, because the mean of its divisors is an integer number (96577920).

Almost surely, 2^2400365405 is an apocalyptic number.

It is an amenable number.

2400365405 is a deficient number, since it is larger than the sum of its proper divisors (690128035).

2400365405 is a wasteful number, since it uses less digits than its factorization.

2400365405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349.

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2400365405 is about 48993.5241128866. The cubic root of 2400365405 is about 1338.9338450904.

Adding to 2400365405 its reverse (5045630042), we get a palindrome (7445995447).

The spelling of 2400365405 in words is "two billion, four hundred million, three hundred sixty-five thousand, four hundred five".