2579040 has 120 divisors (see below), whose sum is σ = 9147600. Its totient is φ = 684288.

The previous prime is 2579009. The next prime is 2579051. The reversal of 2579040 is 409752.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2578995 and 2579013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12861 + ... + 13059.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

2^2579040 is an apocalyptic number.

2579040 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 2579040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573800).

2579040 is an abundant number, since it is smaller than the sum of its proper divisors (6568560).

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

2579040 is a wasteful number, since it uses less digits than its factorization.

2579040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2579040 is about 1605.9389776701. The cubic root of 2579040 is about 137.1363836230.

The spelling of 2579040 in words is "two million, five hundred seventy-nine thousand, forty".