2864705784948 has 144 divisors (see below), whose sum is σ = 8375753602944. Its totient is φ = 808660177920.

The previous prime is 2864705784947. The next prime is 2864705784973. The reversal of 2864705784948 is 8494875074682.

2864705784948 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 7 + 0 + 578 + 4 + 9 + 48 = 666.

It is a super-3 number, since 3×2864705784948³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864705784947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7087936 + ... + 7481192.

It is an arithmetic number, because the mean of its divisors is an integer number (58164955576).

Almost surely, 2^{2864705784948} is an apocalyptic number.

2864705784948 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 2864705784948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187876801472).

2864705784948 is an abundant number, since it is smaller than the sum of its proper divisors (5511047817996).

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

2864705784948 is a wasteful number, since it uses less digits than its factorization.

2864705784948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393622 (or 393617 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 2864705784948 in words is "two trillion, eight hundred sixty-four billion, seven hundred five million, seven hundred eighty-four thousand, nine hundred forty-eight".