2400922290042 has 192 divisors, whose sum is σ = 5690998849536. Its totient is φ = 729540725760.

The previous prime is 2400922290001. The next prime is 2400922290049.

2400922290042 is a `hidden beast` number, since 240 + 0 + 92 + 2 + 290 + 0 + 42 = 666.

2400922290042 is nontrivially palindromic in base 10.

2400922290042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2400922289979 and 2400922290006.

It is not an unprimeable number, because it can be changed into a prime (2400922290049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122592583 + ... + 122612165.

It is an arithmetic number, because the mean of its divisors is an integer number (29640619008).

Almost surely, 2^{2400922290042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400922290042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845499424768).

2400922290042 is an abundant number, since it is smaller than the sum of its proper divisors (3290076559494).

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

2400922290042 is a wasteful number, since it uses less digits than its factorization.

2400922290042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19825 (or 19822 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2400922290042 in words is "two trillion, four hundred billion, nine hundred twenty-two million, two hundred ninety thousand, forty-two".