2400440205 has 64 divisors (see below), whose sum is σ = 4227710976. Its totient is φ = 1157760000.

The previous prime is 2400440197. The next prime is 2400440209. The reversal of 2400440205 is 5020440042.

It is not a de Polignac number, because 2400440205 - 2³ = 2400440197 is a prime.

It is a super-2 number, since 2×2400440205² = 11524226355560884050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400440209) 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, 1192650 + ... + 1194660.

It is an arithmetic number, because the mean of its divisors is an integer number (66057984).

Almost surely, 2^2400440205 is an apocalyptic number.

It is an amenable number.

2400440205 is a deficient number, since it is larger than the sum of its proper divisors (1827270771).

2400440205 is a wasteful number, since it uses less digits than its factorization.

2400440205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218.

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2400440205 is about 48994.2874731330. The cubic root of 2400440205 is about 1338.9477528634.

Adding to 2400440205 its reverse (5020440042), we get a palindrome (7420880247).

The spelling of 2400440205 in words is "two billion, four hundred million, four hundred forty thousand, two hundred five".