2552000 has 112 divisors (see below), whose sum is σ = 7132320. Its totient is φ = 896000.

The previous prime is 2551999. The next prime is 2552009. The reversal of 2552000 is 2552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87986 + ... + 88014.

2^2552000 is an apocalyptic number.

2552000 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 2552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566160).

2552000 is an abundant number, since it is smaller than the sum of its proper divisors (4580320).

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

2552000 is a wasteful number, since it uses less digits than its factorization.

2552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2552000 is about 1597.4980438173. The cubic root of 2552000 is about 136.6554290449.

Adding to 2552000 its reverse (2552), we get a palindrome (2554552).

2552000 divided by its reverse (2552) gives a cube (1000 = 10³).

It can be divided in two parts, 25 and 52000, that added together give a palindrome (52025).

The spelling of 2552000 in words is "two million, five hundred fifty-two thousand".