2579082240 has 528 divisors, whose sum is σ = 10135302912. Its totient is φ = 548143104.

The previous prime is 2579082227. The next prime is 2579082241. The reversal of 2579082240 is 422809752.

It is not an unprimeable number, because it can be changed into a prime (2579082241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31073239 + ... + 31073321.

Almost surely, 2^2579082240 is an apocalyptic number.

2579082240 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 2579082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067651456).

2579082240 is an abundant number, since it is smaller than the sum of its proper divisors (7556220672).

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

2579082240 is a wasteful number, since it uses less digits than its factorization.

2579082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2579082240 is about 50784.6654020680. The cubic root of 2579082240 is about 1371.3713230071.

The spelling of 2579082240 in words is "two billion, five hundred seventy-nine million, eighty-two thousand, two hundred forty".