2483468285760 has 3584 divisors, whose sum is σ = 12008632320000. Its totient is φ = 477956505600.

The previous prime is 2483468285713. The next prime is 2483468285761. The reversal of 2483468285760 is 675828643842.

2483468285760 is a `hidden beast` number, since 2 + 4 + 8 + 34 + 6 + 8 + 28 + 576 + 0 = 666.

It is a super-2 number, since 2×2483468285760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483468285761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 34978426525 + ... + 34978426595.

Almost surely, 2^{2483468285760} is an apocalyptic number.

2483468285760 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 2483468285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004316160000).

2483468285760 is an abundant number, since it is smaller than the sum of its proper divisors (9525164034240).

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

2483468285760 is a wasteful number, since it uses less digits than its factorization.

2483468285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 2483468285760 in words is "two trillion, four hundred eighty-three billion, four hundred sixty-eight million, two hundred eighty-five thousand, seven hundred sixty".