2551824000 has 640 divisors, whose sum is σ = 10396900800. Its totient is φ = 615168000.

The previous prime is 2551823983. The next prime is 2551824007. The reversal of 2551824000 is 4281552.

It is a happy number.

2551824000 is a `hidden beast` number, since 255 + 1 + 8 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2551824007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255911 + ... + 14256089.

Almost surely, 2^2551824000 is an apocalyptic number.

2551824000 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 2551824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198450400).

2551824000 is an abundant number, since it is smaller than the sum of its proper divisors (7845076800).

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

2551824000 is a wasteful number, since it uses less digits than its factorization.

2551824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2551824000 is about 50515.5817545438. The cubic root of 2551824000 is about 1366.5228746859.

The spelling of 2551824000 in words is "two billion, five hundred fifty-one million, eight hundred twenty-four thousand".