2579340 has 24 divisors (see below), whose sum is σ = 7222320. Its totient is φ = 687808.

The previous prime is 2579333. The next prime is 2579341. The reversal of 2579340 is 439752.

2579340 = T₁₉₃ + T₁₉₄ + ... + T₂₈₂.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2579298 and 2579307.

It is not an unprimeable number, because it can be changed into a prime (2579341) 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, 21435 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (300930).

2^2579340 is an apocalyptic number.

2579340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579340 is an abundant number, since it is smaller than the sum of its proper divisors (4642980).

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

2579340 is a wasteful number, since it uses less digits than its factorization.

2579340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43001 (or 42999 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2579340 is about 1606.0323782539. The cubic root of 2579340 is about 137.1417007591.

The spelling of 2579340 in words is "two million, five hundred seventy-nine thousand, three hundred forty".