2110315450432 has 112 divisors (see below), whose sum is σ = 4810215424000. Its totient is φ = 899829637632.

The previous prime is 2110315450429. The next prime is 2110315450471. The reversal of 2110315450432 is 2340545130112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2110315450394 and 2110315450403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199702813 + ... + 199713379.

It is an arithmetic number, because the mean of its divisors is an integer number (42948352000).

Almost surely, 2^{2110315450432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110315450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405107712000).

2110315450432 is an abundant number, since it is smaller than the sum of its proper divisors (2699899973568).

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

2110315450432 is a wasteful number, since it uses less digits than its factorization.

2110315450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 2110315450432 in words is "two trillion, one hundred ten billion, three hundred fifteen million, four hundred fifty thousand, four hundred thirty-two".