2353640235264 has 216 divisors, whose sum is σ = 7156188224640. Its totient is φ = 741912735744.

The previous prime is 2353640235259. The next prime is 2353640235281. The reversal of 2353640235264 is 4625320463532.

It is a happy number.

2353640235264 is a `hidden beast` number, since 2 + 3 + 5 + 364 + 0 + 23 + 5 + 264 = 666.

2353640235264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 24334969 + ... + 24431495.

It is an arithmetic number, because the mean of its divisors is an integer number (33130501040).

Almost surely, 2^{2353640235264} is an apocalyptic number.

2353640235264 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 2353640235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578094112320).

2353640235264 is an abundant number, since it is smaller than the sum of its proper divisors (4802547989376).

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

2353640235264 is a wasteful number, since it uses less digits than its factorization.

2353640235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97125 (or 97108 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

Adding to 2353640235264 its reverse (4625320463532), we get a palindrome (6978960698796).

The spelling of 2353640235264 in words is "two trillion, three hundred fifty-three billion, six hundred forty million, two hundred thirty-five thousand, two hundred sixty-four".