2956000 has 48 divisors (see below), whose sum is σ = 7272720. Its totient is φ = 1180800.

The previous prime is 2955961. The next prime is 2956003. The reversal of 2956000 is 6592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956003) 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, 3631 + ... + 4369.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

2^2956000 is an apocalyptic number.

2956000 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 2956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636360).

2956000 is an abundant number, since it is smaller than the sum of its proper divisors (4316720).

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

2956000 is an equidigital number, since it uses as much as digits as its factorization.

2956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 2956000 is about 1719.3021840270. The cubic root of 2956000 is about 143.5163817207.

The spelling of 2956000 in words is "two million, nine hundred fifty-six thousand".