2400120210042 has 48 divisors (see below), whose sum is σ = 5650537701120. Its totient is φ = 733483252800.

The previous prime is 2400120209987. The next prime is 2400120210127.

2400120210042 is a `hidden beast` number, since 2 + 400 + 12 + 0 + 210 + 0 + 42 = 666.

2400120210042 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2400120209997 and 2400120210024.

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 23 ways as a sum of consecutive naturals, for example, 113181259 + ... + 113202462.

It is an arithmetic number, because the mean of its divisors is an integer number (117719535440).

Almost surely, 2^{2400120210042} is an apocalyptic number.

2400120210042 is an abundant number, since it is smaller than the sum of its proper divisors (3250417491078).

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

2400120210042 is a wasteful number, since it uses less digits than its factorization.

2400120210042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226383779 (or 226383776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 2400120 and 210042, that added together give a palindrome (2610162).

The spelling of 2400120210042 in words is "two trillion, four hundred billion, one hundred twenty million, two hundred ten thousand, forty-two".