2864006455296 has 336 divisors, whose sum is σ = 8801952074496. Its totient is φ = 811398856704.

The previous prime is 2864006455267. The next prime is 2864006455309. The reversal of 2864006455296 is 6925546004682.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 3228868165 + ... + 3228869051.

It is an arithmetic number, because the mean of its divisors is an integer number (26196285936).

Almost surely, 2^{2864006455296} 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 2864006455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400976037248).

2864006455296 is an abundant number, since it is smaller than the sum of its proper divisors (5937945619200).

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

2864006455296 is an frugal number, since it uses more digits than its factorization.

2864006455296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 2864006455296 in words is "two trillion, eight hundred sixty-four billion, six million, four hundred fifty-five thousand, two hundred ninety-six".