2864649888 has 120 divisors (see below), whose sum is σ = 8486533440. Its totient is φ = 947894400.

The previous prime is 2864649883. The next prime is 2864649913. The reversal of 2864649888 is 8889464682.

2864649888 is a `hidden beast` number, since 2 + 8 + 6 + 464 + 98 + 88 = 666.

2864649888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2864649883) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 356313 + ... + 364263.

It is an arithmetic number, because the mean of its divisors is an integer number (70721112).

Almost surely, 2^2864649888 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 2864649888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243266720).

2864649888 is an abundant number, since it is smaller than the sum of its proper divisors (5621883552).

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

2864649888 is a wasteful number, since it uses less digits than its factorization.

2864649888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8095 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The square root of 2864649888 is about 53522.4241603461. The cubic root of 2864649888 is about 1420.2250995396.

The spelling of 2864649888 in words is "two billion, eight hundred sixty-four million, six hundred forty-nine thousand, eight hundred eighty-eight".