2480781219840 has 2880 divisors, whose sum is σ = 11713026124800. Its totient is φ = 496071475200.

The previous prime is 2480781219817. The next prime is 2480781219881. The reversal of 2480781219840 is 489121870842.

2480781219840 is a `hidden beast` number, since 2 + 480 + 7 + 81 + 2 + 1 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 13859112871 + ... + 13859113049.

It is an arithmetic number, because the mean of its divisors is an integer number (4067022960).

Almost surely, 2^{2480781219840} is an apocalyptic number.

2480781219840 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 2480781219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856513062400).

2480781219840 is an abundant number, since it is smaller than the sum of its proper divisors (9232244904960).

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

2480781219840 is a wasteful number, since it uses less digits than its factorization.

2480781219840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2480781219840 in words is "two trillion, four hundred eighty billion, seven hundred eighty-one million, two hundred nineteen thousand, eight hundred forty".