2110172112090 has 256 divisors, whose sum is σ = 6934588416000. Its totient is φ = 445794347520.

The previous prime is 2110172112073. The next prime is 2110172112119. The reversal of 2110172112090 is 902112710112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 755691 + ... + 2188929.

It is an arithmetic number, because the mean of its divisors is an integer number (27088236000).

Almost surely, 2^{2110172112090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110172112090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467294208000).

2110172112090 is an abundant number, since it is smaller than the sum of its proper divisors (4824416303910).

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

2110172112090 is a wasteful number, since it uses less digits than its factorization.

2110172112090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433322 (or 1433316 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 2110172112090 in words is "two trillion, one hundred ten billion, one hundred seventy-two million, one hundred twelve thousand, ninety".