2746680000 has 280 divisors, whose sum is σ = 9293425152. Its totient is φ = 715392000.

The previous prime is 2746679981. The next prime is 2746680007. The reversal of 2746680000 is 866472.

It is not an unprimeable number, because it can be changed into a prime (2746680007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5639757 + ... + 5640243.

Almost surely, 2^2746680000 is an apocalyptic number.

2746680000 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 2746680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646712576).

2746680000 is an abundant number, since it is smaller than the sum of its proper divisors (6546745152).

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

2746680000 is an equidigital number, since it uses as much as digits as its factorization.

2746680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2746680000 is about 52408.7778907312. Note that the first 3 decimals coincide. The cubic root of 2746680000 is about 1400.4556340094.

The spelling of 2746680000 in words is "two billion, seven hundred forty-six million, six hundred eighty thousand".