2968020 has 72 divisors (see below), whose sum is σ = 9828000. Its totient is φ = 719040.

The previous prime is 2968019. The next prime is 2968027. The reversal of 2968020 is 208692.

2968020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968027) 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, 1231 + ... + 2729.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

2^2968020 is an apocalyptic number.

2968020 is a gapful number since it is divisible by the number (20) 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 2968020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914000).

2968020 is an abundant number, since it is smaller than the sum of its proper divisors (6859980).

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

2968020 is a wasteful number, since it uses less digits than its factorization.

2968020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2968020 is about 1722.7942419221. The cubic root of 2968020 is about 143.7106458118.

The spelling of 2968020 in words is "two million, nine hundred sixty-eight thousand, twenty".