2578890 has 64 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 640320.

The previous prime is 2578879. The next prime is 2578907. The reversal of 2578890 is 988752.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43681 + ... + 43739.

It is an arithmetic number, because the mean of its divisors is an integer number (103680).

2^2578890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2578890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2578890 is an abundant number, since it is smaller than the sum of its proper divisors (4056630).

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

2578890 is a wasteful number, since it uses less digits than its factorization.

2578890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147.

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2578890 is about 1605.8922753410. The cubic root of 2578890 is about 137.1337249003.

It can be divided in two parts, 25788 and 90, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 2578890 in words is "two million, five hundred seventy-eight thousand, eight hundred ninety".