2452000 has 48 divisors (see below), whose sum is σ = 6034392. Its totient is φ = 979200.

The previous prime is 2451991. The next prime is 2452003. The reversal of 2452000 is 2542.

It is a happy number.

2452000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 2347024 = 324^2 + 1532^2 .

It is not an unprimeable number, because it can be changed into a prime (2452003) 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, 3694 + ... + 4306.

2^2452000 is an apocalyptic number.

2452000 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 2452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017196).

2452000 is an abundant number, since it is smaller than the sum of its proper divisors (3582392).

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

2452000 is an equidigital number, since it uses as much as digits as its factorization.

2452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 2452000 is about 1565.8863304851. The cubic root of 2452000 is about 134.8466479979.

Adding to 2452000 its reverse (2542), we get a palindrome (2454542).

It can be divided in two parts, 245 and 2000, that multiplied together give a square (490000 = 700²).

The spelling of 2452000 in words is "two million, four hundred fifty-two thousand".