2352896000 has 384 divisors, whose sum is σ = 7297879680. Its totient is φ = 737280000.

The previous prime is 2352895997. The next prime is 2352896009. The reversal of 2352896000 is 6982532.

It is a super-2 number, since 2×2352896000² = 11072239173632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352896009) by changing a digit.

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, 23295950 + ... + 23296050.

It is an arithmetic number, because the mean of its divisors is an integer number (19004895).

Almost surely, 2^2352896000 is an apocalyptic number.

2352896000 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 2352896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648939840).

2352896000 is an abundant number, since it is smaller than the sum of its proper divisors (4944983680).

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

2352896000 is a wasteful number, since it uses less digits than its factorization.

2352896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 2352896000 is about 48506.6593366313. The cubic root of 2352896000 is about 1330.0488044352.

The spelling of 2352896000 in words is "two billion, three hundred fifty-two million, eight hundred ninety-six thousand".