2869668000 has 480 divisors, whose sum is σ = 11173610448. Its totient is φ = 718848000.

The previous prime is 2869667993. The next prime is 2869668013. The reversal of 2869668000 is 8669682.

It can be written as a sum of positive squares in 8 ways, for example, as 133541136 + 2736126864 = 11556^2 + 52308^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5507740 + ... + 5508260.

Almost surely, 2^2869668000 is an apocalyptic number.

2869668000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2869668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586805224).

2869668000 is an abundant number, since it is smaller than the sum of its proper divisors (8303942448).

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

2869668000 is a wasteful number, since it uses less digits than its factorization.

2869668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2869668000 is about 53569.2822427182. The cubic root of 2869668000 is about 1421.0539025330.

The spelling of 2869668000 in words is "two billion, eight hundred sixty-nine million, six hundred sixty-eight thousand".