2970768 has 40 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 972544.

The previous prime is 2970719. The next prime is 2970769. The reversal of 2970768 is 8670792.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2970769) 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, 2308 + ... + 3356.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

2^2970768 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 2970768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000).

2970768 is an abundant number, since it is smaller than the sum of its proper divisors (4841232).

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

2970768 is a wasteful number, since it uses less digits than its factorization.

2970768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2970768 is about 1723.5915989584. The cubic root of 2970768 is about 143.7549845783.

The spelling of 2970768 in words is "two million, nine hundred seventy thousand, seven hundred sixty-eight".