2968002 has 48 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 952560.

The previous prime is 2968001. The next prime is 2968019. The reversal of 2968002 is 2008692.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14968 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

2^2968002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2968002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2968002 is an abundant number, since it is smaller than the sum of its proper divisors (3950910).

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

2968002 is a wasteful number, since it uses less digits than its factorization.

2968002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

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

The square root of 2968002 is about 1722.7890178429. The cubic root of 2968002 is about 143.7103552930.

The spelling of 2968002 in words is "two million, nine hundred sixty-eight thousand, two".