2110056661440 has 2240 divisors, whose sum is σ = 9814423449600. Its totient is φ = 417870544896.

The previous prime is 2110056661331. The next prime is 2110056661451. The reversal of 2110056661440 is 441666500112.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×2110056661440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2110056661395 and 2110056661404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8828688841 + ... + 8828689079.

It is an arithmetic number, because the mean of its divisors is an integer number (4381439040).

Almost surely, 2^{2110056661440} is an apocalyptic number.

2110056661440 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 2110056661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907211724800).

2110056661440 is an abundant number, since it is smaller than the sum of its proper divisors (7704366788160).

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

2110056661440 is a wasteful number, since it uses less digits than its factorization.

2110056661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2110056661440 in words is "two trillion, one hundred ten billion, fifty-six million, six hundred sixty-one thousand, four hundred forty".