2967988601 has 2 divisors, whose sum is σ = 2967988602. Its totient is φ = 2967988600.

The previous prime is 2967988553. The next prime is 2967988607. The reversal of 2967988601 is 1068897692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2967634576 + 354025 = 54476^2 + 595^2 .

It is a cyclic number.

It is not a de Polignac number, because 2967988601 - 2¹⁸ = 2967726457 is a prime.

It is not a weakly prime, because it can be changed into another prime (2967988607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483994300 + 1483994301.

It is an arithmetic number, because the mean of its divisors is an integer number (1483994301).

Almost surely, 2^2967988601 is an apocalyptic number.

It is an amenable number.

2967988601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2967988601 is an equidigital number, since it uses as much as digits as its factorization.

2967988601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 2967988601 is about 54479.2492697908. The cubic root of 2967988601 is about 1437.1013903327.

It can be divided in two parts, 296 and 7988601, that added together give a palindrome (7988897).

The spelling of 2967988601 in words is "two billion, nine hundred sixty-seven million, nine hundred eighty-eight thousand, six hundred one".