2553000 has 128 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 633600.

The previous prime is 2552987. The next prime is 2553017. The reversal of 2553000 is 3552.

2553000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68982 + ... + 69018.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

2^2553000 is an apocalyptic number.

2553000 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 2553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268160).

2553000 is an abundant number, since it is smaller than the sum of its proper divisors (5983320).

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

2553000 is a wasteful number, since it uses less digits than its factorization.

2553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

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

The square root of 2553000 is about 1597.8110025907. The cubic root of 2553000 is about 136.6732761692.

2553000 divided by its product of nonzero digits (150) gives a triangular number (17020 = T₁₈₄).

Adding to 2553000 its reverse (3552), we get a palindrome (2556552).

The spelling of 2553000 in words is "two million, five hundred fifty-three thousand".