2958668601 has 16 divisors (see below), whose sum is σ = 4509450624. Its totient is φ = 1690291584.

The previous prime is 2958668567. The next prime is 2958668623. The reversal of 2958668601 is 1068668592.

2958668601 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2958668601 - 2⁷ = 2958668473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2958668651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101221 + ... + 127133.

It is an arithmetic number, because the mean of its divisors is an integer number (281840664).

Almost surely, 2^2958668601 is an apocalyptic number.

2958668601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2958668601 is a deficient number, since it is larger than the sum of its proper divisors (1550782023).

2958668601 is a wasteful number, since it uses less digits than its factorization.

2958668601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31360.

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2958668601 is about 54393.6448585678. The cubic root of 2958668601 is about 1435.5955636744.

The spelling of 2958668601 in words is "two billion, nine hundred fifty-eight million, six hundred sixty-eight thousand, six hundred one".