2679062880 has 192 divisors, whose sum is σ = 9217732608. Its totient is φ = 650065920.

The previous prime is 2679062851. The next prime is 2679062887. The reversal of 2679062880 is 882609762.

It is a happy number.

2679062880 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679062887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440017 + ... + 446063.

It is an arithmetic number, because the mean of its divisors is an integer number (48009024).

Almost surely, 2^2679062880 is an apocalyptic number.

2679062880 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 2679062880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608866304).

2679062880 is an abundant number, since it is smaller than the sum of its proper divisors (6538669728).

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

2679062880 is a wasteful number, since it uses less digits than its factorization.

2679062880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2679062880 is about 51759.6646047866. The cubic root of 2679062880 is about 1388.8679912755.

The spelling of 2679062880 in words is "two billion, six hundred seventy-nine million, sixty-two thousand, eight hundred eighty".