2400402240240 has 40 divisors (see below), whose sum is σ = 7441246945488. Its totient is φ = 640107264000.

The previous prime is 2400402240221. The next prime is 2400402240241. The reversal of 2400402240240 is 420422040042.

It is a tau number, because it is divible by the number of its divisors (40).

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 2400402240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400402240241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5000837761 + ... + 5000838240.

Almost surely, 2^{2400402240240} is an apocalyptic number.

2400402240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400402240240 is an abundant number, since it is smaller than the sum of its proper divisors (5040844705248).

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

2400402240240 is a wasteful number, since it uses less digits than its factorization.

2400402240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001676017 (or 10001676011 counting only the distinct ones).

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

Adding to 2400402240240 its reverse (420422040042), we get a palindrome (2820824280282).

The spelling of 2400402240240 in words is "two trillion, four hundred billion, four hundred two million, two hundred forty thousand, two hundred forty".