2147468800 has 60 divisors (see below), whose sum is σ = 5320553436. Its totient is φ = 858982400.

The previous prime is 2147468783. The next prime is 2147468801. The reversal of 2147468800 is 88647412.

It is a super-2 number, since 2×2147468800² = 9223244493946880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2147468801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71086 + ... + 96685.

Almost surely, 2^2147468800 is an apocalyptic number.

2147468800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2147468800 is an abundant number, since it is smaller than the sum of its proper divisors (3173084636).

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

2147468800 is an equidigital number, since it uses as much as digits as its factorization.

2147468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167799 (or 167778 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 2147468800 is about 46340.7898076845. The cubic root of 2147468800 is about 1290.1561816390.

The spelling of 2147468800 in words is "two billion, one hundred forty-seven million, four hundred sixty-eight thousand, eight hundred".