2579742996 has 72 divisors (see below), whose sum is σ = 6586211520. Its totient is φ = 783164160.

The previous prime is 2579742967. The next prime is 2579743063. The reversal of 2579742996 is 6992479752.

It is a super-2 number, since 2×2579742996² = 13310147850822112032, which contains 22 as substring.

It is a congruent number.

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, 189465 + ... + 202623.

It is an arithmetic number, because the mean of its divisors is an integer number (91475160).

Almost surely, 2^2579742996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2579742996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293105760).

2579742996 is an abundant number, since it is smaller than the sum of its proper divisors (4006468524).

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

2579742996 is a wasteful number, since it uses less digits than its factorization.

2579742996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13212 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 60.

The square root of 2579742996 is about 50791.1704531408. The cubic root of 2579742996 is about 1371.4884272549.

The spelling of 2579742996 in words is "two billion, five hundred seventy-nine million, seven hundred forty-two thousand, nine hundred ninety-six".