2213985760 has 192 divisors, whose sum is σ = 6169540608. Its totient is φ = 735105024.

The previous prime is 2213985757. The next prime is 2213985817. The reversal of 2213985760 is 675893122.

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, 7211527 + ... + 7211833.

It is an arithmetic number, because the mean of its divisors is an integer number (32133024).

Almost surely, 2^2213985760 is an apocalyptic number.

2213985760 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 2213985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084770304).

2213985760 is an abundant number, since it is smaller than the sum of its proper divisors (3955554848).

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

2213985760 is a wasteful number, since it uses less digits than its factorization.

2213985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 2213985760 is about 47053.0101056245. The cubic root of 2213985760 is about 1303.3416514420.

The spelling of 2213985760 in words is "two billion, two hundred thirteen million, nine hundred eighty-five thousand, seven hundred sixty".