2676639889280 has 512 divisors, whose sum is σ = 7752331100160. Its totient is φ = 863957090304.

The previous prime is 2676639889279. The next prime is 2676639889283. The reversal of 2676639889280 is 829889366762.

2676639889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2676639889198 and 2676639889207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676639889283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1792792214 + ... + 1792793706.

It is an arithmetic number, because the mean of its divisors is an integer number (15141271680).

Almost surely, 2^{2676639889280} is an apocalyptic number.

2676639889280 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 2676639889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876165550080).

2676639889280 is an abundant number, since it is smaller than the sum of its proper divisors (5075691210880).

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

2676639889280 is a wasteful number, since it uses less digits than its factorization.

2676639889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 74.

The spelling of 2676639889280 in words is "two trillion, six hundred seventy-six billion, six hundred thirty-nine million, eight hundred eighty-nine thousand, two hundred eighty".