2034224421408 has 144 divisors (see below), whose sum is σ = 6089976809280. Its totient is φ = 642314230272.

The previous prime is 2034224421373. The next prime is 2034224421409. The reversal of 2034224421408 is 8041244224302.

2034224421408 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 2 + 244 + 2 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2034224421409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69715110 + ... + 69744282.

It is an arithmetic number, because the mean of its divisors is an integer number (42291505620).

Almost surely, 2^{2034224421408} 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 2034224421408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044988404640).

2034224421408 is an abundant number, since it is smaller than the sum of its proper divisors (4055752387872).

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

2034224421408 is a wasteful number, since it uses less digits than its factorization.

2034224421408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41951 (or 41940 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 2034224421408 in words is "two trillion, thirty-four billion, two hundred twenty-four million, four hundred twenty-one thousand, four hundred eight".