2678801361210 has 256 divisors, whose sum is σ = 7795388160000. Its totient is φ = 650629324800.

The previous prime is 2678801361209. The next prime is 2678801361217. The reversal of 2678801361210 is 121631088762.

2678801361210 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 8 + 0 + 13 + 612 + 10 = 666.

2678801361210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2678801361217) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776687566 + ... + 776691014.

It is an arithmetic number, because the mean of its divisors is an integer number (30450735000).

Almost surely, 2^{2678801361210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678801361210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897694080000).

2678801361210 is an abundant number, since it is smaller than the sum of its proper divisors (5116586798790).

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

2678801361210 is a wasteful number, since it uses less digits than its factorization.

2678801361210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6352 counting only the distinct ones).

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

The spelling of 2678801361210 in words is "two trillion, six hundred seventy-eight billion, eight hundred one million, three hundred sixty-one thousand, two hundred ten".