2181541936 has 120 divisors (see below), whose sum is σ = 5120766000. Its totient is φ = 896620032.

The previous prime is 2181541903. The next prime is 2181541979. The reversal of 2181541936 is 6391451812.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206335 + ... + 5206753.

It is an arithmetic number, because the mean of its divisors is an integer number (42673050).

Almost surely, 2^2181541936 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 2181541936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560383000).

2181541936 is an abundant number, since it is smaller than the sum of its proper divisors (2939224064).

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

2181541936 is a wasteful number, since it uses less digits than its factorization.

2181541936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 2181541936 is about 46706.9795212664. The cubic root of 2181541936 is about 1296.9438933671.

The spelling of 2181541936 in words is "two billion, one hundred eighty-one million, five hundred forty-one thousand, nine hundred thirty-six".