2968032 has 48 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 964992.

The previous prime is 2968027. The next prime is 2968037. The reversal of 2968032 is 2308692.

It is an interprime number because it is at equal distance from previous prime (2968027) and next prime (2968037).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968037) 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, 3769 + ... + 4487.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

2^2968032 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 2968032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2968032 is an abundant number, since it is smaller than the sum of its proper divisors (5015328).

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

2968032 is a wasteful number, since it uses less digits than its factorization.

2968032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2968032 is about 1722.7977246328. The cubic root of 2968032 is about 143.7108394904.

The spelling of 2968032 in words is "two million, nine hundred sixty-eight thousand, thirty-two".