2400244004040 has 32 divisors (see below), whose sum is σ = 7200732012480. Its totient is φ = 640065067712.

The previous prime is 2400244004027. The next prime is 2400244004051. The reversal of 2400244004040 is 404004420042.

2400244004040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400244004040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2400244004040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10001016564 + ... + 10001016803.

It is an arithmetic number, because the mean of its divisors is an integer number (225022875390).

Almost surely, 2^{2400244004040} is an apocalyptic number.

2400244004040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400244004040 is an abundant number, since it is smaller than the sum of its proper divisors (4800488008440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2400244004040 is a wasteful number, since it uses less digits than its factorization.

2400244004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002033381 (or 20002033377 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2400244004040 its reverse (404004420042), we get a palindrome (2804248424082).

The spelling of 2400244004040 in words is "two trillion, four hundred billion, two hundred forty-four million, four thousand, forty".