2423312640 has 756 divisors, whose sum is σ = 10314802764. Its totient is φ = 543449088.

The previous prime is 2423312543. The next prime is 2423312641. The reversal of 2423312640 is 462133242.

2423312640 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 3 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1316818944 + 1106493696 = 36288^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423312641) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 45722854 + ... + 45722906.

It is an arithmetic number, because the mean of its divisors is an integer number (13643919).

Almost surely, 2^2423312640 is an apocalyptic number.

2423312640 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 2423312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157401382).

2423312640 is an abundant number, since it is smaller than the sum of its proper divisors (7891490124).

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

2423312640 is an frugal number, since it uses more digits than its factorization.

2423312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2423312640 is about 49227.1534826055. The cubic root of 2423312640 is about 1343.1870083168.

Adding to 2423312640 its reverse (462133242), we get a palindrome (2885445882).

The spelling of 2423312640 in words is "two billion, four hundred twenty-three million, three hundred twelve thousand, six hundred forty".