2970968 has 96 divisors (see below), whose sum is σ = 7756560. Its totient is φ = 1048320.

The previous prime is 2970967. The next prime is 2970977. The reversal of 2970968 is 8690792.

2970968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56030 + ... + 56082.

2^2970968 is an apocalyptic number.

2970968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2970968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878280).

2970968 is an abundant number, since it is smaller than the sum of its proper divisors (4785592).

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

2970968 is a wasteful number, since it uses less digits than its factorization.

2970968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2970968 is about 1723.6496163664. The cubic root of 2970968 is about 143.7582104951.

The spelling of 2970968 in words is "two million, nine hundred seventy thousand, nine hundred sixty-eight".