2181445440 has 224 divisors, whose sum is σ = 7373721600. Its totient is φ = 544505856.

The previous prime is 2181445421. The next prime is 2181445489. The reversal of 2181445440 is 445441812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5695489 + ... + 5695871.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^2181445440 is an apocalyptic number.

2181445440 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 2181445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2181445440 is an abundant number, since it is smaller than the sum of its proper divisors (5192276160).

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

2181445440 is a wasteful number, since it uses less digits than its factorization.

2181445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2181445440 is about 46705.9465164769. The cubic root of 2181445440 is about 1296.9247705407.

The spelling of 2181445440 in words is "two billion, one hundred eighty-one million, four hundred forty-five thousand, four hundred forty".