2480227776000 has 2400 divisors, whose sum is σ = 10601271252000. Its totient is φ = 574503321600.

The previous prime is 2480227775951. The next prime is 2480227776001. The reversal of 2480227776000 is 6777220842.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2480227776001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16645823926 + ... + 16645824074.

It is an arithmetic number, because the mean of its divisors is an integer number (4417196355).

Almost surely, 2^{2480227776000} is an apocalyptic number.

2480227776000 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 2480227776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300635626000).

2480227776000 is an abundant number, since it is smaller than the sum of its proper divisors (8121043476000).

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

2480227776000 is a wasteful number, since it uses less digits than its factorization.

2480227776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 2480227776000 in words is "two trillion, four hundred eighty billion, two hundred twenty-seven million, seven hundred seventy-six thousand".