2906000 has 40 divisors (see below), whose sum is σ = 7031544. Its totient is φ = 1161600.

The previous prime is 2905999. The next prime is 2906009. The reversal of 2906000 is 6092.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 2876416 = 172^2 + 1696^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2906000.

It is not an unprimeable number, because it can be changed into a prime (2906009) 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, 1274 + ... + 2726.

2^2906000 is an apocalyptic number.

2906000 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 2906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515772).

2906000 is an abundant number, since it is smaller than the sum of its proper divisors (4125544).

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

2906000 is a wasteful number, since it uses less digits than its factorization.

2906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2906000 is about 1704.6993869888. The cubic root of 2906000 is about 142.7025947693.

The spelling of 2906000 in words is "two million, nine hundred six thousand".