2672001757 has 2 divisors, whose sum is σ = 2672001758. Its totient is φ = 2672001756.

The previous prime is 2672001733. The next prime is 2672001769. The reversal of 2672001757 is 7571002762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2415329316 + 256672441 = 49146^2 + 16021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2672001757 is a prime.

It is a super-2 number, since 2×2672001757² = 14279186778822174098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2672011757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1336000878 + 1336000879.

It is an arithmetic number, because the mean of its divisors is an integer number (1336000879).

Almost surely, 2^2672001757 is an apocalyptic number.

It is an amenable number.

2672001757 is a deficient number, since it is larger than the sum of its proper divisors (1).

2672001757 is an equidigital number, since it uses as much as digits as its factorization.

2672001757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160, while the sum is 37.

The square root of 2672001757 is about 51691.4089283703. The cubic root of 2672001757 is about 1387.6467189166.

The spelling of 2672001757 in words is "two billion, six hundred seventy-two million, one thousand, seven hundred fifty-seven".