2766976002 has 144 divisors (see below), whose sum is σ = 7142499000. Its totient is φ = 771724800.

The previous prime is 2766976001. The next prime is 2766976031. The reversal of 2766976002 is 2006796672.

It can be written as a sum of positive squares in 4 ways, for example, as 2710139481 + 56836521 = 52059^2 + 7539^2 .

It is not an unprimeable number, because it can be changed into a prime (2766976001) 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 71 ways as a sum of consecutive naturals, for example, 7928124 + ... + 7928472.

Almost surely, 2^2766976002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2766976002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571249500).

2766976002 is an abundant number, since it is smaller than the sum of its proper divisors (4375522998).

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

2766976002 is a wasteful number, since it uses less digits than its factorization.

2766976002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2766976002 is about 52602.0532108776. The cubic root of 2766976002 is about 1403.8966277655.

The spelling of 2766976002 in words is "two billion, seven hundred sixty-six million, nine hundred seventy-six thousand, two".