2579940 has 72 divisors (see below), whose sum is σ = 8543808. Its totient is φ = 624960.

The previous prime is 2579939. The next prime is 2579963. The reversal of 2579940 is 499752.

2579940 = 189² + 190² + ... + 243².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2579895 and 2579904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329 + ... + 2631.

It is an arithmetic number, because the mean of its divisors is an integer number (118664).

2^2579940 is an apocalyptic number.

2579940 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 2579940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271904).

2579940 is an abundant number, since it is smaller than the sum of its proper divisors (5963868).

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

2579940 is a wasteful number, since it uses less digits than its factorization.

2579940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2579940 is about 1606.2191631281. The cubic root of 2579940 is about 137.1523337945.

The spelling of 2579940 in words is "two million, five hundred seventy-nine thousand, nine hundred forty".