2400142002120 has 96 divisors (see below), whose sum is σ = 8011284835320. Its totient is φ = 622739543040.

The previous prime is 2400142002053. The next prime is 2400142002121. The reversal of 2400142002120 is 212002410042.

2400142002120 is a `hidden beast` number, since 2 + 400 + 142 + 0 + 0 + 2 + 120 = 666.

2400142002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2355224286276 + 44917715844 = 1534674^2 + 211938^2 .

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 = 2400142002093 and 2400142002102.

It is not an unprimeable number, because it can be changed into a prime (2400142002121) 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, 90082101 + ... + 90108740.

Almost surely, 2^{2400142002120} is an apocalyptic number.

2400142002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400142002120 is an abundant number, since it is smaller than the sum of its proper divisors (5611142833200).

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

2400142002120 is a wasteful number, since it uses less digits than its factorization.

2400142002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180190895 (or 180190888 counting only the distinct ones).

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

Adding to 2400142002120 its reverse (212002410042), we get a palindrome (2612144412162).

The spelling of 2400142002120 in words is "two trillion, four hundred billion, one hundred forty-two million, two thousand, one hundred twenty".