2811678060060 has 576 divisors, whose sum is σ = 9311345971200. Its totient is φ = 685291622400.

The previous prime is 2811678060049. The next prime is 2811678060083. The reversal of 2811678060060 is 600608761182.

It is a happy number.

2811678060060 is a `hidden beast` number, since 28 + 1 + 16 + 7 + 8 + 0 + 600 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2811678059988 and 2811678060015.

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 191 ways as a sum of consecutive naturals, for example, 904365786 + ... + 904368894.

It is an arithmetic number, because the mean of its divisors is an integer number (16165531200).

Almost surely, 2^{2811678060060} is an apocalyptic number.

2811678060060 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 2811678060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655672985600).

2811678060060 is an abundant number, since it is smaller than the sum of its proper divisors (6499667911140).

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

2811678060060 is a wasteful number, since it uses less digits than its factorization.

2811678060060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2811678060060 in words is "two trillion, eight hundred eleven billion, six hundred seventy-eight million, sixty thousand, sixty".