2181513461760 has 1200 divisors, whose sum is σ = 8416682610336. Its totient is φ = 538598965248.

The previous prime is 2181513461713. The next prime is 2181513461761. The reversal of 2181513461760 is 671643151812.

2181513461760 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 513 + 4 + 61 + 76 + 0 = 666.

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 (2181513461761) 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 79 ways as a sum of consecutive naturals, for example, 9362718604 + ... + 9362718836.

Almost surely, 2^{2181513461760} is an apocalyptic number.

2181513461760 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 2181513461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208341305168).

2181513461760 is an abundant number, since it is smaller than the sum of its proper divisors (6235169148576).

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

2181513461760 is an equidigital number, since it uses as much as digits as its factorization.

2181513461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2181513461760 in words is "two trillion, one hundred eighty-one billion, five hundred thirteen million, four hundred sixty-one thousand, seven hundred sixty".