2869735968 has 144 divisors (see below), whose sum is σ = 9190202112. Its totient is φ = 841536000.

The previous prime is 2869735951. The next prime is 2869735991. The reversal of 2869735968 is 8695379682.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83598 + ... + 112818.

It is an arithmetic number, because the mean of its divisors is an integer number (63820848).

Almost surely, 2^2869735968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2869735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4595101056).

2869735968 is an abundant number, since it is smaller than the sum of its proper divisors (6320466144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2869735968 is a wasteful number, since it uses less digits than its factorization.

2869735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29279 (or 29268 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 2869735968 is about 53569.9166323787. The cubic root of 2869735968 is about 1421.0651216507.

It can be divided in two parts, 2869 and 735968, that added together give a palindrome (738837).

The spelling of 2869735968 in words is "two billion, eight hundred sixty-nine million, seven hundred thirty-five thousand, nine hundred sixty-eight".