2279806464 has 320 divisors, whose sum is σ = 7039549440. Its totient is φ = 650280960.

The previous prime is 2279806453. The next prime is 2279806469. The reversal of 2279806464 is 4646089722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279806469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17951169 + ... + 17951295.

It is an arithmetic number, because the mean of its divisors is an integer number (21998592).

Almost surely, 2^2279806464 is an apocalyptic number.

2279806464 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 2279806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519774720).

2279806464 is an abundant number, since it is smaller than the sum of its proper divisors (4759742976).

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

2279806464 is a wasteful number, since it uses less digits than its factorization.

2279806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2279806464 is about 47747.3189194954. The cubic root of 2279806464 is about 1316.1316313426.

It can be divided in two parts, 22798064 and 64, that added together give a triangular number (22798128 = T₆₇₅₂).

The spelling of 2279806464 in words is "two billion, two hundred seventy-nine million, eight hundred six thousand, four hundred sixty-four".