2966000 has 40 divisors (see below), whose sum is σ = 7176624. Its totient is φ = 1185600.

The previous prime is 2965993. The next prime is 2966009. The reversal of 2966000 is 6692.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2966009) 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, 1259 + ... + 2741.

2^2966000 is an apocalyptic number.

2966000 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 2966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588312).

2966000 is an abundant number, since it is smaller than the sum of its proper divisors (4210624).

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

2966000 is a wasteful number, since it uses less digits than its factorization.

2966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2966000 is about 1722.2078852450. The cubic root of 2966000 is about 143.6780358129.

The spelling of 2966000 in words is "two million, nine hundred sixty-six thousand".