2481618989880 has 1280 divisors, whose sum is σ = 9430036070400. Its totient is φ = 584408494080.

The previous prime is 2481618989879. The next prime is 2481618989881. The reversal of 2481618989880 is 889898161842.

2481618989880 is a `hidden beast` number, since 2 + 481 + 61 + 8 + 9 + 8 + 9 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2481618989879) and next prime (2481618989881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2481618989799 and 2481618989808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481618989881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 23192700787 + ... + 23192700893.

It is an arithmetic number, because the mean of its divisors is an integer number (7367215680).

Almost surely, 2^{2481618989880} is an apocalyptic number.

2481618989880 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 2481618989880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715018035200).

2481618989880 is an abundant number, since it is smaller than the sum of its proper divisors (6948417080520).

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

2481618989880 is a wasteful number, since it uses less digits than its factorization.

2481618989880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 2481618989880 in words is "two trillion, four hundred eighty-one billion, six hundred eighteen million, nine hundred eighty-nine thousand, eight hundred eighty".