2500858644480 has 2304 divisors, whose sum is σ = 10914410707200. Its totient is φ = 547796680704.

The previous prime is 2500858644463. The next prime is 2500858644491. The reversal of 2500858644480 is 844468580052.

2500858644480 is a `hidden beast` number, since 2 + 5 + 0 + 0 + 85 + 86 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 47186012134 + ... + 47186012186.

It is an arithmetic number, because the mean of its divisors is an integer number (4737157425).

Almost surely, 2^{2500858644480} is an apocalyptic number.

2500858644480 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 2500858644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5457205353600).

2500858644480 is an abundant number, since it is smaller than the sum of its proper divisors (8413552062720).

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

2500858644480 is an frugal number, since it uses more digits than its factorization.

2500858644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

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

The spelling of 2500858644480 in words is "two trillion, five hundred billion, eight hundred fifty-eight million, six hundred forty-four thousand, four hundred eighty".