2761828001 has 2 divisors, whose sum is σ = 2761828002. Its totient is φ = 2761828000.

The previous prime is 2761827989. The next prime is 2761828031. The reversal of 2761828001 is 1008281672.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1462297600 + 1299530401 = 38240^2 + 36049^2 .

It is a cyclic number.

It is not a de Polignac number, because 2761828001 - 2³⁰ = 1688086177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2761828031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1380914000 + 1380914001.

It is an arithmetic number, because the mean of its divisors is an integer number (1380914001).

Almost surely, 2^2761828001 is an apocalyptic number.

It is an amenable number.

2761828001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2761828001 is an equidigital number, since it uses as much as digits as its factorization.

2761828001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 2761828001 is about 52553.0969686849. The cubic root of 2761828001 is about 1403.0254302295.

The spelling of 2761828001 in words is "two billion, seven hundred sixty-one million, eight hundred twenty-eight thousand, one".