2864943648 has 192 divisors, whose sum is σ = 9587128320. Its totient is φ = 815360256.

The previous prime is 2864943623. The next prime is 2864943667. The reversal of 2864943648 is 8463494682.

2864943648 is a `hidden beast` number, since 2 + 86 + 494 + 36 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2864943594 and 2864943603.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855965 + ... + 1857507.

It is an arithmetic number, because the mean of its divisors is an integer number (49932960).

Almost surely, 2^2864943648 is an apocalyptic number.

2864943648 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 2864943648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793564160).

2864943648 is an abundant number, since it is smaller than the sum of its proper divisors (6722184672).

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

2864943648 is a wasteful number, since it uses less digits than its factorization.

2864943648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1862 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 2864943648 is about 53525.1683603144. The cubic root of 2864943648 is about 1420.2736442812.

The spelling of 2864943648 in words is "two billion, eight hundred sixty-four million, nine hundred forty-three thousand, six hundred forty-eight".