2511111120042 has 64 divisors (see below), whose sum is σ = 6090437689344. Its totient is φ = 673798245120.

The previous prime is 2511111120041. The next prime is 2511111120047. The reversal of 2511111120042 is 2400211111152.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2511111120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3467434 + ... + 4128597.

It is an arithmetic number, because the mean of its divisors is an integer number (95163088896).

Almost surely, 2^{2511111120042} is an apocalyptic number.

2511111120042 is an abundant number, since it is smaller than the sum of its proper divisors (3579326569302).

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

2511111120042 is a wasteful number, since it uses less digits than its factorization.

2511111120042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7596523.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 2511111120042 its reverse (2400211111152), we get a palindrome (4911322231194).

The spelling of 2511111120042 in words is "two trillion, five hundred eleven billion, one hundred eleven million, one hundred twenty thousand, forty-two".