2746886688 has 768 divisors, whose sum is σ = 10838016000. Its totient is φ = 670602240.

The previous prime is 2746886647. The next prime is 2746886689. The reversal of 2746886688 is 8866886472.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2746886689) 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 127 ways as a sum of consecutive naturals, for example, 88609233 + ... + 88609263.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 2^2746886688 is an apocalyptic number.

2746886688 is a gapful number since it is divisible by the number (28) 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 2746886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008000).

2746886688 is an abundant number, since it is smaller than the sum of its proper divisors (8091129312).

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

2746886688 is a wasteful number, since it uses less digits than its factorization.

2746886688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The square root of 2746886688 is about 52410.7497370530. The cubic root of 2746886688 is about 1400.4907612799.

The spelling of 2746886688 in words is "two billion, seven hundred forty-six million, eight hundred eighty-six thousand, six hundred eighty-eight".