2968520 has 32 divisors (see below), whose sum is σ = 6825600. Its totient is φ = 1161408.

The previous prime is 2968519. The next prime is 2968531. The reversal of 2968520 is 258692.

2968520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2968520² = 17624221980800, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1091 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (213300).

2^2968520 is an apocalyptic number.

2968520 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 2968520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412800).

2968520 is an abundant number, since it is smaller than the sum of its proper divisors (3857080).

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

2968520 is a wasteful number, since it uses less digits than its factorization.

2968520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2968520 is about 1722.9393489035. The cubic root of 2968520 is about 143.7187153091.

The spelling of 2968520 in words is "two million, nine hundred sixty-eight thousand, five hundred twenty".