2212617984 has 144 divisors (see below), whose sum is σ = 6035457792. Its totient is φ = 719437824.

The previous prime is 2212617973. The next prime is 2212617997. The reversal of 2212617984 is 4897162122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6565464 + ... + 6565800.

Almost surely, 2^2212617984 is an apocalyptic number.

2212617984 is a gapful number since it is divisible by the number (24) 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 2212617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017728896).

2212617984 is an abundant number, since it is smaller than the sum of its proper divisors (3822839808).

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

2212617984 is a wasteful number, since it uses less digits than its factorization.

2212617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 2212617984 is about 47038.4734446177. The cubic root of 2212617984 is about 1303.0731994499.

The spelling of 2212617984 in words is "two billion, two hundred twelve million, six hundred seventeen thousand, nine hundred eighty-four".