2535000 has 120 divisors (see below), whose sum is σ = 8575380. Its totient is φ = 624000.

The previous prime is 2534993. The next prime is 2535007. The reversal of 2535000 is 5352.

2535000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2534993) and next prime (2535007).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 194994 + ... + 195006.

2^2535000 is an apocalyptic number.

2535000 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 2535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287690).

2535000 is an abundant number, since it is smaller than the sum of its proper divisors (6040380).

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

2535000 is a wasteful number, since it uses less digits than its factorization.

2535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 2535000 is about 1592.1683328091. The cubic root of 2535000 is about 136.3513120175.

Multiplying 2535000 by its product of nonzero digits (150), we get a square (380250000 = 19500²).

2535000 divided by its product of nonzero digits (150) gives a square (16900 = 130²).

It can be divided in two parts, 253 and 5000, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 2535000 in words is "two million, five hundred thirty-five thousand".