2423836800 has 576 divisors, whose sum is σ = 10792791360. Its totient is φ = 503193600.

The previous prime is 2423836781. The next prime is 2423836813. The reversal of 2423836800 is 86383242.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2217054 + ... + 2218146.

It is an arithmetic number, because the mean of its divisors is an integer number (18737485).

Almost surely, 2^2423836800 is an apocalyptic number.

2423836800 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 2423836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396395680).

2423836800 is an abundant number, since it is smaller than the sum of its proper divisors (8368954560).

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

2423836800 is a wasteful number, since it uses less digits than its factorization.

2423836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2423836800 is about 49232.4770857612. The cubic root of 2423836800 is about 1343.2838446522.

The spelling of 2423836800 in words is "two billion, four hundred twenty-three million, eight hundred thirty-six thousand, eight hundred".