2042034242144 has 96 divisors (see below), whose sum is σ = 4429345322304. Its totient is φ = 920978472960.

The previous prime is 2042034242141. The next prime is 2042034242147. The reversal of 2042034242144 is 4412424302402.

It is an interprime number because it is at equal distance from previous prime (2042034242141) and next prime (2042034242147).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2042034242144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042034242141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031652 + ... + 3643484.

It is an arithmetic number, because the mean of its divisors is an integer number (46139013774).

Almost surely, 2^{2042034242144} 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 2042034242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214672661152).

2042034242144 is an abundant number, since it is smaller than the sum of its proper divisors (2387311080160).

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

2042034242144 is a wasteful number, since it uses less digits than its factorization.

2042034242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612040 (or 612032 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 2042034242144 its reverse (4412424302402), we get a palindrome (6454458544546).

The spelling of 2042034242144 in words is "two trillion, forty-two billion, thirty-four million, two hundred forty-two thousand, one hundred forty-four".