2463438720 has 256 divisors, whose sum is σ = 8439137280. Its totient is φ = 608993280.

The previous prime is 2463438707. The next prime is 2463438767. The reversal of 2463438720 is 278343642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2316909 + ... + 2317971.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380).

Almost surely, 2^2463438720 is an apocalyptic number.

2463438720 is a gapful number since it is divisible by the number (20) 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 2463438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640).

2463438720 is an abundant number, since it is smaller than the sum of its proper divisors (5975698560).

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

2463438720 is a wasteful number, since it uses less digits than its factorization.

2463438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2463438720 is about 49633.0406080466. The cubic root of 2463438720 is about 1350.5601187390.

The spelling of 2463438720 in words is "two billion, four hundred sixty-three million, four hundred thirty-eight thousand, seven hundred twenty".