2611781289540 has 72 divisors (see below), whose sum is σ = 8177964657408. Its totient is φ = 674008073280.

The previous prime is 2611781289437. The next prime is 2611781289553. The reversal of 2611781289540 is 459821871162.

2611781289540 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 7 + 8 + 12 + 89 + 540 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234025002 + ... + 234036161.

It is an arithmetic number, because the mean of its divisors is an integer number (113582842464).

Almost surely, 2^{2611781289540} is an apocalyptic number.

2611781289540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2611781289540 is an abundant number, since it is smaller than the sum of its proper divisors (5566183367868).

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

2611781289540 is a wasteful number, since it uses less digits than its factorization.

2611781289540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468061209 (or 468061204 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 2611781289540 in words is "two trillion, six hundred eleven billion, seven hundred eighty-one million, two hundred eighty-nine thousand, five hundred forty".