2375424000 has 288 divisors, whose sum is σ = 8570409120. Its totient is φ = 632832000.

The previous prime is 2375423993. The next prime is 2375424001. The reversal of 2375424000 is 4245732.

2375424000 is a `hidden beast` number, since 237 + 5 + 424 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2375424001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303485 + ... + 2304515.

It is an arithmetic number, because the mean of its divisors is an integer number (29758365).

Almost surely, 2^2375424000 is an apocalyptic number.

2375424000 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 2375424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285204560).

2375424000 is an abundant number, since it is smaller than the sum of its proper divisors (6194985120).

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

2375424000 is a wasteful number, since it uses less digits than its factorization.

2375424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2375424000 is about 48738.3216781210. The cubic root of 2375424000 is about 1334.2802162892.

Adding to 2375424000 its reverse (4245732), we get a palindrome (2379669732).

The spelling of 2375424000 in words is "two billion, three hundred seventy-five million, four hundred twenty-four thousand".