2112581142 has 128 divisors (see below), whose sum is σ = 5729771520. Its totient is φ = 563824800.

The previous prime is 2112581137. The next prime is 2112581161. The reversal of 2112581142 is 2411852112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371017 + ... + 376667.

It is an arithmetic number, because the mean of its divisors is an integer number (44763840).

Almost surely, 2^2112581142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112581142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864885760).

2112581142 is an abundant number, since it is smaller than the sum of its proper divisors (3617190378).

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

2112581142 is a wasteful number, since it uses less digits than its factorization.

2112581142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735 (or 5729 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 2112581142 is about 45962.8234772408. The cubic root of 2112581142 is about 1283.1314000521.

The spelling of 2112581142 in words is "two billion, one hundred twelve million, five hundred eighty-one thousand, one hundred forty-two".