2578000 has 40 divisors (see below), whose sum is σ = 6238440. Its totient is φ = 1030400.

The previous prime is 2577989. The next prime is 2578003. The reversal of 2578000 is 8752.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 2572816 = 72^2 + 1604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578003) 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, 1356 + ... + 2644.

It is an arithmetic number, because the mean of its divisors is an integer number (155961).

2^2578000 is an apocalyptic number.

2578000 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 2578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119220).

2578000 is an abundant number, since it is smaller than the sum of its proper divisors (3660440).

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

2578000 is a wasteful number, since it uses less digits than its factorization.

2578000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 2578000 is about 1605.6151469141. The cubic root of 2578000 is about 137.1179476915.

The spelling of 2578000 in words is "two million, five hundred seventy-eight thousand".