2864479464 has 480 divisors, whose sum is σ = 10706351040. Its totient is φ = 697973760.

The previous prime is 2864479439. The next prime is 2864479469. The reversal of 2864479464 is 4649744682.

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 self number, because there is not a number n which added to its sum of digits gives 2864479464.

It is not an unprimeable number, because it can be changed into a prime (2864479469) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9330399 + ... + 9330705.

It is an arithmetic number, because the mean of its divisors is an integer number (22304898).

Almost surely, 2^2864479464 is an apocalyptic number.

2864479464 is a gapful number since it is divisible by the number (24) 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 2864479464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353175520).

2864479464 is an abundant number, since it is smaller than the sum of its proper divisors (7841871576).

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

2864479464 is a wasteful number, since it uses less digits than its factorization.

2864479464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 2864479464 is about 53520.8320563124. The cubic root of 2864479464 is about 1420.1969349294.

The spelling of 2864479464 in words is "two billion, eight hundred sixty-four million, four hundred seventy-nine thousand, four hundred sixty-four".