2864349306 has 192 divisors, whose sum is σ = 7864496640. Its totient is φ = 733432320.

The previous prime is 2864349281. The next prime is 2864349307. The reversal of 2864349306 is 6039434682.

It is not an unprimeable number, because it can be changed into a prime (2864349307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10890931 + ... + 10891193.

It is an arithmetic number, because the mean of its divisors is an integer number (40960920).

Almost surely, 2^2864349306 is an apocalyptic number.

2864349306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2864349306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932248320).

2864349306 is an abundant number, since it is smaller than the sum of its proper divisors (5000147334).

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

2864349306 is a wasteful number, since it uses less digits than its factorization.

2864349306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2864349306 is about 53519.6160860670. The cubic root of 2864349306 is about 1420.1754240063.

The spelling of 2864349306 in words is "two billion, eight hundred sixty-four million, three hundred forty-nine thousand, three hundred six".