2528000 has 72 divisors (see below), whose sum is σ = 6377280. Its totient is φ = 998400.

The previous prime is 2527997. The next prime is 2528003. The reversal of 2528000 is 8252.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2527997) and next prime (2528003).

It is a self number, because there is not a number n which added to its sum of digits gives 2528000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31961 + ... + 32039.

2^2528000 is an apocalyptic number.

2528000 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 2528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188640).

2528000 is an abundant number, since it is smaller than the sum of its proper divisors (3849280).

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

2528000 is an frugal number, since it uses more digits than its factorization.

2528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2528000 is about 1589.9685531481. The cubic root of 2528000 is about 136.2256921538.

The spelling of 2528000 in words is "two million, five hundred twenty-eight thousand".