2735000 has 40 divisors (see below), whose sum is σ = 6419820. Its totient is φ = 1092000.

The previous prime is 2734981. The next prime is 2735009. The reversal of 2735000 is 5372.

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 2735000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4727 + ... + 5273.

2^2735000 is an apocalyptic number.

2735000 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 2735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209910).

2735000 is an abundant number, since it is smaller than the sum of its proper divisors (3684820).

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

2735000 is an equidigital number, since it uses as much as digits as its factorization.

2735000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 2735000 is about 1653.7835408541. The cubic root of 2735000 is about 139.8467711289.

The spelling of 2735000 in words is "two million, seven hundred thirty-five thousand".