2779584859772 has 216 divisors, whose sum is σ = 6113819875968. Its totient is φ = 1102046299200.

The previous prime is 2779584859763. The next prime is 2779584859813.

2779584859772 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537530747 + ... + 537535917.

It is an arithmetic number, because the mean of its divisors is an integer number (28304721648).

Almost surely, 2^{2779584859772} 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 2779584859772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056909937984).

2779584859772 is an abundant number, since it is smaller than the sum of its proper divisors (3334235016196).

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

2779584859772 is a wasteful number, since it uses less digits than its factorization.

2779584859772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5377 counting only the distinct ones).

The product of its digits is 4978713600, while the sum is 80.

The spelling of 2779584859772 in words is "two trillion, seven hundred seventy-nine billion, five hundred eighty-four million, eight hundred fifty-nine thousand, seven hundred seventy-two".