2968729101 has 24 divisors (see below), whose sum is σ = 4777270680. Its totient is φ = 1763911296.

The previous prime is 2968729097. The next prime is 2968729109. The reversal of 2968729101 is 1019278692.

2968729101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 805083876 + 2163645225 = 28374^2 + 46515^2 .

It is not a de Polignac number, because 2968729101 - 2² = 2968729097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968729109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434086 + ... + 440871.

It is an arithmetic number, because the mean of its divisors is an integer number (199052945).

Almost surely, 2^2968729101 is an apocalyptic number.

It is an amenable number.

2968729101 is a deficient number, since it is larger than the sum of its proper divisors (1808541579).

2968729101 is a wasteful number, since it uses less digits than its factorization.

2968729101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875005 (or 875002 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2968729101 is about 54486.0450115440. The cubic root of 2968729101 is about 1437.2208972034.

The spelling of 2968729101 in words is "two billion, nine hundred sixty-eight million, seven hundred twenty-nine thousand, one hundred one".