2676800000 has 240 divisors, whose sum is σ = 7672008960. Its totient is φ = 913920000.

The previous prime is 2676799999. The next prime is 2676800003. The reversal of 2676800000 is 86762.

It is not an unprimeable number, because it can be changed into a prime (2676800003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11199881 + ... + 11200119.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^2676800000 is an apocalyptic number.

2676800000 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 2676800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836004480).

2676800000 is an abundant number, since it is smaller than the sum of its proper divisors (4995208960).

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

2676800000 is an frugal number, since it uses more digits than its factorization.

2676800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2676800000 is about 51737.8004944161. The cubic root of 2676800000 is about 1388.4768436955.

Adding to 2676800000 its reverse (86762), we get a palindrome (2676886762).

The spelling of 2676800000 in words is "two billion, six hundred seventy-six million, eight hundred thousand".