2042005314144 has 96 divisors (see below), whose sum is σ = 5433334913664. Its totient is φ = 671446702080.

The previous prime is 2042005314131. The next prime is 2042005314149. The reversal of 2042005314144 is 4414135002402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2042005314144² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042005314149) by changing a digit.

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, 1842867 + ... + 2734989.

It is an arithmetic number, because the mean of its divisors is an integer number (56597238684).

Almost surely, 2^{2042005314144} is an apocalyptic number.

2042005314144 is a gapful number since it is divisible by the number (24) 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 2042005314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716667456832).

2042005314144 is an abundant number, since it is smaller than the sum of its proper divisors (3391329599520).

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

2042005314144 is a wasteful number, since it uses less digits than its factorization.

2042005314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892460 (or 892452 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 2042005314144 in words is "two trillion, forty-two billion, five million, three hundred fourteen thousand, one hundred forty-four".