2352168000 has 672 divisors, whose sum is σ = 10384657920. Its totient is φ = 494899200.

The previous prime is 2352167981. The next prime is 2352168001. The reversal of 2352168000 is 8612532.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2352168001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6551821 + ... + 6552179.

It is an arithmetic number, because the mean of its divisors is an integer number (15453360).

Almost surely, 2^2352168000 is an apocalyptic number.

2352168000 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 2352168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192328960).

2352168000 is an abundant number, since it is smaller than the sum of its proper divisors (8032489920).

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

2352168000 is a wasteful number, since it uses less digits than its factorization.

2352168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2352168000 is about 48499.1546318078. The cubic root of 2352168000 is about 1329.9116152847.

The spelling of 2352168000 in words is "two billion, three hundred fifty-two million, one hundred sixty-eight thousand".