2358896064 has 336 divisors, whose sum is σ = 7889004288. Its totient is φ = 619573248.

The previous prime is 2358896063. The next prime is 2358896087. The reversal of 2358896064 is 4606988532.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2358895998 and 2358896016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2358896063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54858027 + ... + 54858069.

Almost surely, 2^2358896064 is an apocalyptic number.

2358896064 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 2358896064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944502144).

2358896064 is an abundant number, since it is smaller than the sum of its proper divisors (5530108224).

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

2358896064 is an frugal number, since it uses more digits than its factorization.

2358896064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2358896064 is about 48568.4677954741. The cubic root of 2358896064 is about 1331.1784200266.

The spelling of 2358896064 in words is "two billion, three hundred fifty-eight million, eight hundred ninety-six thousand, sixty-four".