2722000 has 40 divisors (see below), whose sum is σ = 6586632. Its totient is φ = 1088000.

The previous prime is 2721947. The next prime is 2722001. The reversal of 2722000 is 2272.

It can be written as a sum of positive squares in 4 ways, for example, as 399424 + 2322576 = 632^2 + 1524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722001) 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, 1320 + ... + 2680.

2^2722000 is an apocalyptic number.

2722000 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 2722000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293316).

2722000 is an abundant number, since it is smaller than the sum of its proper divisors (3864632).

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

2722000 is a wasteful number, since it uses less digits than its factorization.

2722000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2722000 is about 1649.8484778912. The cubic root of 2722000 is about 139.6248459484.

Adding to 2722000 its reverse (2272), we get a palindrome (2724272).

The spelling of 2722000 in words is "two million, seven hundred twenty-two thousand".