2864007910512 has 960 divisors, whose sum is σ = 10519966679040. Its totient is φ = 735839769600.

The previous prime is 2864007910501. The next prime is 2864007910529. The reversal of 2864007910512 is 2150197004682.

2864007910512 is a `hidden beast` number, since 2 + 8 + 6 + 40 + 0 + 7 + 91 + 0 + 512 = 666.

It is a super-2 number, since 2×2864007910512² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 849600187 + ... + 849603557.

It is an arithmetic number, because the mean of its divisors is an integer number (10958298624).

Almost surely, 2^{2864007910512} 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 2864007910512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259983339520).

2864007910512 is an abundant number, since it is smaller than the sum of its proper divisors (7655958768528).

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

2864007910512 is a wasteful number, since it uses less digits than its factorization.

2864007910512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2864007910512 in words is "two trillion, eight hundred sixty-four billion, seven million, nine hundred ten thousand, five hundred twelve".