2214517032 has 192 divisors, whose sum is σ = 7770672000. Its totient is φ = 553277952.

The previous prime is 2214517021. The next prime is 2214517037. The reversal of 2214517032 is 2307154122.

It is a junction number, because it is equal to n+sod(n) for n = 2214516987 and 2214517005.

It is not an unprimeable number, because it can be changed into a prime (2214517037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115594 + ... + 133382.

It is an arithmetic number, because the mean of its divisors is an integer number (40472250).

Almost surely, 2^2214517032 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 2214517032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3885336000).

2214517032 is an abundant number, since it is smaller than the sum of its proper divisors (5556154968).

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

2214517032 is a wasteful number, since it uses less digits than its factorization.

2214517032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17840 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2214517032 is about 47058.6552294049. The cubic root of 2214517032 is about 1303.4458938390.

The spelling of 2214517032 in words is "two billion, two hundred fourteen million, five hundred seventeen thousand, thirty-two".