2114105435024 has 160 divisors (see below), whose sum is σ = 4561669284480. Its totient is φ = 948995604480.

The previous prime is 2114105435017. The next prime is 2114105435051. The reversal of 2114105435024 is 4205345014112.

It is a super-4 number, since 4×2114105435024⁴ (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1361303432 + ... + 1361304984.

It is an arithmetic number, because the mean of its divisors is an integer number (28510433028).

Almost surely, 2^{2114105435024} 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 2114105435024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280834642240).

2114105435024 is an abundant number, since it is smaller than the sum of its proper divisors (2447563849456).

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

2114105435024 is a wasteful number, since it uses less digits than its factorization.

2114105435024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 2114105435024 in words is "two trillion, one hundred fourteen billion, one hundred five million, four hundred thirty-five thousand, twenty-four".