2864251793088 has 1344 divisors, whose sum is σ = 10685014179840. Its totient is φ = 742874001408.

The previous prime is 2864251793083. The next prime is 2864251793141. The reversal of 2864251793088 is 8803971524682.

2864251793088 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 2 + 517 + 9 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2864251793083) 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, 3983659993 + ... + 3983660711.

It is an arithmetic number, because the mean of its divisors is an integer number (7950159360).

It is a 1-persistent number, because it is pandigital, but 2⋅2864251793088 = 5728503586176 is not.

Almost surely, 2^{2864251793088} is an apocalyptic number.

2864251793088 is a gapful number since it is divisible by the number (28) 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 2864251793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342507089920).

2864251793088 is an abundant number, since it is smaller than the sum of its proper divisors (7820762386752).

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

2864251793088 is a wasteful number, since it uses less digits than its factorization.

2864251793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 2864251793088 in words is "two trillion, eight hundred sixty-four billion, two hundred fifty-one million, seven hundred ninety-three thousand, eighty-eight".