2110535306880 has 2048 divisors, whose sum is σ = 9373529088000. Its totient is φ = 397971947520.

The previous prime is 2110535306819. The next prime is 2110535306987. The reversal of 2110535306880 is 886035350112.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6874707687 + ... + 6874707993.

It is an arithmetic number, because the mean of its divisors is an integer number (4576918500).

Almost surely, 2^{2110535306880} is an apocalyptic number.

2110535306880 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 2110535306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4686764544000).

2110535306880 is an abundant number, since it is smaller than the sum of its proper divisors (7262993781120).

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

2110535306880 is a wasteful number, since it uses less digits than its factorization.

2110535306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 2110535306880 in words is "two trillion, one hundred ten billion, five hundred thirty-five million, three hundred six thousand, eight hundred eighty".