2353688064 has 320 divisors, whose sum is σ = 8579450880. Its totient is φ = 620421120.

The previous prime is 2353688059. The next prime is 2353688087. The reversal of 2353688064 is 4608863532.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257049 + ... + 1258919.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^2353688064 is an apocalyptic number.

2353688064 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 2353688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2353688064 is an abundant number, since it is smaller than the sum of its proper divisors (6225762816).

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

2353688064 is a wasteful number, since it uses less digits than its factorization.

2353688064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2353688064 is about 48514.8231368517. The cubic root of 2353688064 is about 1330.1980340917.

The spelling of 2353688064 in words is "two billion, three hundred fifty-three million, six hundred eighty-eight thousand, sixty-four".