2864236015872 has 1728 divisors, whose sum is σ = 11091569448960. Its totient is φ = 695041966080.

The previous prime is 2864236015871. The next prime is 2864236015889. The reversal of 2864236015872 is 2785106324682.

2864236015872 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 23 + 601 + 5 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2864236015871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26768560843 + ... + 26768560949.

It is an arithmetic number, because the mean of its divisors is an integer number (6418732320).

Almost surely, 2^{2864236015872} is an apocalyptic number.

2864236015872 is a gapful number since it is divisible by the number (22) 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 2864236015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545784724480).

2864236015872 is an abundant number, since it is smaller than the sum of its proper divisors (8227333433088).

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

2864236015872 is a wasteful number, since it uses less digits than its factorization.

2864236015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2864236015872 in words is "two trillion, eight hundred sixty-four billion, two hundred thirty-six million, fifteen thousand, eight hundred seventy-two".