2011542442000 has 640 divisors, whose sum is σ = 6377651804160. Its totient is φ = 599016038400.

The previous prime is 2011542441991. The next prime is 2011542442057. The reversal of 2011542442000 is 2442451102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 522884077 + ... + 522887923.

It is an arithmetic number, because the mean of its divisors is an integer number (9965080944).

Almost surely, 2^{2011542442000} is an apocalyptic number.

2011542442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011542442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188825902080).

2011542442000 is an abundant number, since it is smaller than the sum of its proper divisors (4366109362160).

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

2011542442000 is a wasteful number, since it uses less digits than its factorization.

2011542442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2011542442000 its reverse (2442451102), we get a palindrome (2013984893102).

It can be divided in two parts, 2011542 and 442000, that added together give a palindrome (2453542).

The spelling of 2011542442000 in words is "two trillion, eleven billion, five hundred forty-two million, four hundred forty-two thousand".