2663315424 has 768 divisors, whose sum is σ = 10644480000. Its totient is φ = 640120320.

The previous prime is 2663315423. The next prime is 2663315437. The reversal of 2663315424 is 4245133662.

2663315424 is a `hidden beast` number, since 2 + 6 + 633 + 15 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2663315423) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61937547 + ... + 61937589.

It is an arithmetic number, because the mean of its divisors is an integer number (13860000).

Almost surely, 2^2663315424 is an apocalyptic number.

2663315424 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 2663315424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240000).

2663315424 is an abundant number, since it is smaller than the sum of its proper divisors (7981164576).

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

2663315424 is a wasteful number, since it uses less digits than its factorization.

2663315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2663315424 is about 51607.3194808643. The cubic root of 2663315424 is about 1386.1413997153.

The spelling of 2663315424 in words is "two billion, six hundred sixty-three million, three hundred fifteen thousand, four hundred twenty-four".