2113027519680 has 1344 divisors, whose sum is σ = 9867707366400. Its totient is φ = 401594941440.

The previous prime is 2113027519619. The next prime is 2113027519741. The reversal of 2113027519680 is 869157203112.

2113027519680 is a `hidden beast` number, since 2 + 1 + 1 + 30 + 27 + 519 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2113027519619) and next prime (2113027519741).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×2113027519680³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122181114 + ... + 122198406.

Almost surely, 2^{2113027519680} is an apocalyptic number.

2113027519680 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 2113027519680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933853683200).

2113027519680 is an abundant number, since it is smaller than the sum of its proper divisors (7754679846720).

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

2113027519680 is a wasteful number, since it uses less digits than its factorization.

2113027519680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17382 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2113027519680 in words is "two trillion, one hundred thirteen billion, twenty-seven million, five hundred nineteen thousand, six hundred eighty".