2177968 has 40 divisors (see below), whose sum is σ = 4683728. Its totient is φ = 974592.

The previous prime is 2177963. The next prime is 2177971. The reversal of 2177968 is 8697712.

It is a self number, because there is not a number n which added to its sum of digits gives 2177968.

It is not an unprimeable number, because it can be changed into a prime (2177963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7555 + ... + 7837.

2^2177968 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 2177968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341864).

2177968 is an abundant number, since it is smaller than the sum of its proper divisors (2505760).

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

2177968 is a wasteful number, since it uses less digits than its factorization.

2177968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The square root of 2177968 is about 1475.7940235683. The cubic root of 2177968 is about 129.6235261868.

The spelling of 2177968 in words is "two million, one hundred seventy-seven thousand, nine hundred sixty-eight".