2128968 has 24 divisors (see below), whose sum is σ = 5766150. Its totient is φ = 709632.

The previous prime is 2128963. The next prime is 2128991. The reversal of 2128968 is 8698212.

It can be written as a sum of positive squares in only one way, i.e., 1790244 + 338724 = 1338^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2128963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14713 + ... + 14856.

2^2128968 is an apocalyptic number.

It is an amenable number.

2128968 is an abundant number, since it is smaller than the sum of its proper divisors (3637182).

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

2128968 is a wasteful number, since it uses less digits than its factorization.

2128968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29581 (or 29574 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2128968 is about 1459.0983517227. The cubic root of 2128968 is about 128.6440520926.

It can be divided in two parts, 212 and 8968, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 2128968 in words is "two million, one hundred twenty-eight thousand, nine hundred sixty-eight".