2579111420 has 48 divisors (see below), whose sum is σ = 5546620800. Its totient is φ = 1007086080.

The previous prime is 2579111411. The next prime is 2579111443. The reversal of 2579111420 is 241119752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131450 + ... + 149790.

It is an arithmetic number, because the mean of its divisors is an integer number (115554600).

Almost surely, 2^2579111420 is an apocalyptic number.

2579111420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2579111420 is an abundant number, since it is smaller than the sum of its proper divisors (2967509380).

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

2579111420 is a wasteful number, since it uses less digits than its factorization.

2579111420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518 (or 18516 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 2579111420 is about 50784.9526927022. The cubic root of 2579111420 is about 1371.3764949327.

The spelling of 2579111420 in words is "two billion, five hundred seventy-nine million, one hundred eleven thousand, four hundred twenty".