2552024868480 has 192 divisors, whose sum is σ = 8849337868800. Its totient is φ = 677692151808.

The previous prime is 2552024868451. The next prime is 2552024868509. The reversal of 2552024868480 is 848684202552.

2552024868480 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 0 + 2 + 486 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2552024868451) and next prime (2552024868509).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2552024868480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 449737 + ... + 2303543.

It is an arithmetic number, because the mean of its divisors is an integer number (46090301400).

Almost surely, 2^{2552024868480} is an apocalyptic number.

2552024868480 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 2552024868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424668934400).

2552024868480 is an abundant number, since it is smaller than the sum of its proper divisors (6297313000320).

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

2552024868480 is a wasteful number, since it uses less digits than its factorization.

2552024868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854071 (or 1854056 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 2552024868480 in words is "two trillion, five hundred fifty-two billion, twenty-four million, eight hundred sixty-eight thousand, four hundred eighty".