2700579499072 has 336 divisors, whose sum is σ = 6965807321088. Its totient is φ = 1028554813440.

The previous prime is 2700579499067. The next prime is 2700579499091. The reversal of 2700579499072 is 2709949750072.

It is a super-2 number, since 2×2700579499072² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2700579499072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248964753 + ... + 248975599.

It is an arithmetic number, because the mean of its divisors is an integer number (20731569408).

Almost surely, 2^{2700579499072} 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 2700579499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482903660544).

2700579499072 is an abundant number, since it is smaller than the sum of its proper divisors (4265227822016).

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

2700579499072 is a wasteful number, since it uses less digits than its factorization.

2700579499072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11114 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 61.

The spelling of 2700579499072 in words is "two trillion, seven hundred billion, five hundred seventy-nine million, four hundred ninety-nine thousand, seventy-two".