2142217672 has 48 divisors (see below), whose sum is σ = 4703512320. Its totient is φ = 911988000.

The previous prime is 2142217669. The next prime is 2142217691. The reversal of 2142217672 is 2767122412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41097 + ... + 77287.

It is an arithmetic number, because the mean of its divisors is an integer number (97989840).

Almost surely, 2^2142217672 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 2142217672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351756160).

2142217672 is an abundant number, since it is smaller than the sum of its proper divisors (2561294648).

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

2142217672 is a wasteful number, since it uses less digits than its factorization.

2142217672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36362 (or 36351 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 2142217672 is about 46284.0973985666. The cubic root of 2142217672 is about 1289.1037325415.

The spelling of 2142217672 in words is "two billion, one hundred forty-two million, two hundred seventeen thousand, six hundred seventy-two".