2542111992 has 256 divisors, whose sum is σ = 8584704000. Its totient is φ = 680835456.

The previous prime is 2542111991. The next prime is 2542112009. The reversal of 2542111992 is 2991112452.

2542111992 is a `hidden beast` number, since 2 + 542 + 11 + 19 + 92 = 666.

2542111992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542111991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3073483 + ... + 3074309.

It is an arithmetic number, because the mean of its divisors is an integer number (33534000).

Almost surely, 2^2542111992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542111992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292352000).

2542111992 is an abundant number, since it is smaller than the sum of its proper divisors (6042592008).

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

2542111992 is a wasteful number, since it uses less digits than its factorization.

2542111992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2542111992 is about 50419.3612811586. The cubic root of 2542111992 is about 1364.7870504657.

The spelling of 2542111992 in words is "two billion, five hundred forty-two million, one hundred eleven thousand, nine hundred ninety-two".