2781572013660 has 288 divisors, whose sum is σ = 8621246140416. Its totient is φ = 669573132800.

The previous prime is 2781572013631. The next prime is 2781572013673. The reversal of 2781572013660 is 663102751872.

2781572013660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 938767339 + ... + 938770301.

It is an arithmetic number, because the mean of its divisors is an integer number (29934882432).

Almost surely, 2^{2781572013660} is an apocalyptic number.

2781572013660 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 2781572013660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310623070208).

2781572013660 is an abundant number, since it is smaller than the sum of its proper divisors (5839674126756).

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

2781572013660 is a wasteful number, since it uses less digits than its factorization.

2781572013660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2781572013660 in words is "two trillion, seven hundred eighty-one billion, five hundred seventy-two million, thirteen thousand, six hundred sixty".