2464229376 has 288 divisors, whose sum is σ = 8279107200. Its totient is φ = 691568640.

The previous prime is 2464229353. The next prime is 2464229389. The reversal of 2464229376 is 6739224642.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9160570 + ... + 9160838.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^2464229376 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 2464229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

2464229376 is an abundant number, since it is smaller than the sum of its proper divisors (5814877824).

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

2464229376 is a wasteful number, since it uses less digits than its factorization.

2464229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2464229376 is about 49641.0049857978. The cubic root of 2464229376 is about 1350.7045935107.

The spelling of 2464229376 in words is "two billion, four hundred sixty-four million, two hundred twenty-nine thousand, three hundred seventy-six".