2953000 has 32 divisors (see below), whose sum is σ = 6912360. Its totient is φ = 1180800.

The previous prime is 2952997. The next prime is 2953003. The reversal of 2953000 is 3592.

It is an interprime number because it is at equal distance from previous prime (2952997) and next prime (2953003).

It can be written as a sum of positive squares in 4 ways, for example, as 1350244 + 1602756 = 1162^2 + 1266^2 .

It is not an unprimeable number, because it can be changed into a prime (2953003) 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, 477 + ... + 2476.

2^2953000 is an apocalyptic number.

2953000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2953000 is an abundant number, since it is smaller than the sum of its proper divisors (3959360).

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

2953000 is a wasteful number, since it uses less digits than its factorization.

2953000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 2953000 is about 1718.4295155752. The cubic root of 2953000 is about 143.4678144136.

Adding to 2953000 its reverse (3592), we get a palindrome (2956592).

The spelling of 2953000 in words is "two million, nine hundred fifty-three thousand".