2542123114040 has 64 divisors (see below), whose sum is σ = 5730381711360. Its totient is φ = 1014964675200.

The previous prime is 2542123114009. The next prime is 2542123114067. The reversal of 2542123114040 is 404113212452.

It is a happy number.

2542123114040 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 = 2542123113994 and 2542123114012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178475159 + ... + 178489401.

It is an arithmetic number, because the mean of its divisors is an integer number (89537214240).

Almost surely, 2^{2542123114040} is an apocalyptic number.

2542123114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542123114040 is an abundant number, since it is smaller than the sum of its proper divisors (3188258597320).

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

2542123114040 is a wasteful number, since it uses less digits than its factorization.

2542123114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22212 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 2542123114040 its reverse (404113212452), we get a palindrome (2946236326492).

The spelling of 2542123114040 in words is "two trillion, five hundred forty-two billion, one hundred twenty-three million, one hundred fourteen thousand, forty".