2968504 has 64 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 1123200.

The previous prime is 2968487. The next prime is 2968513. The reversal of 2968504 is 4058692.

It is a happy number.

2968504 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

2968504 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2968504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37537 + ... + 37615.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

2^2968504 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 2968504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2968504 is an abundant number, since it is smaller than the sum of its proper divisors (4173896).

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

2968504 is a wasteful number, since it uses less digits than its factorization.

2968504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2968504 is about 1722.9347056694. The cubic root of 2968504 is about 143.7184570992.

The spelling of 2968504 in words is "two million, nine hundred sixty-eight thousand, five hundred four".