2864460672 has 384 divisors, whose sum is σ = 9311702400. Its totient is φ = 873400320.

The previous prime is 2864460671. The next prime is 2864460701. The reversal of 2864460672 is 2760644682.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864460671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21866047 + ... + 21866177.

It is an arithmetic number, because the mean of its divisors is an integer number (24249225).

Almost surely, 2^2864460672 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 2864460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655851200).

2864460672 is an abundant number, since it is smaller than the sum of its proper divisors (6447241728).

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

2864460672 is a wasteful number, since it uses less digits than its factorization.

2864460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2864460672 is about 53520.6564982157. The cubic root of 2864460672 is about 1420.1938292577.

The spelling of 2864460672 in words is "two billion, eight hundred sixty-four million, four hundred sixty thousand, six hundred seventy-two".