2964000 has 192 divisors, whose sum is σ = 11007360. Its totient is φ = 691200.

The previous prime is 2963999. The next prime is 2964011. The reversal of 2964000 is 4692.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155991 + ... + 156009.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^2964000 is an apocalyptic number.

2964000 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 2964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503680).

2964000 is an abundant number, since it is smaller than the sum of its proper divisors (8043360).

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

2964000 is a wasteful number, since it uses less digits than its factorization.

2964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2964000 is about 1721.6271373326. The cubic root of 2964000 is about 143.6457340951.

Adding to 2964000 its reverse (4692), we get a palindrome (2968692).

The spelling of 2964000 in words is "two million, nine hundred sixty-four thousand".