2400240204400 has 120 divisors (see below), whose sum is σ = 6047144855280. Its totient is φ = 914290513920.

The previous prime is 2400240204347. The next prime is 2400240204407. The reversal of 2400240204400 is 44020420042.

It is a super-2 number, since 2×2400240204400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400240204407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570442 + ... + 2264041.

It is an arithmetic number, because the mean of its divisors is an integer number (50392873794).

Almost surely, 2^{2400240204400} is an apocalyptic number.

2400240204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400240204400 is an abundant number, since it is smaller than the sum of its proper divisors (3646904650880).

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

2400240204400 is a wasteful number, since it uses less digits than its factorization.

2400240204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834603 (or 2834592 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2400240204400 its reverse (44020420042), we get a palindrome (2444260624442).

The spelling of 2400240204400 in words is "two trillion, four hundred billion, two hundred forty million, two hundred four thousand, four hundred".