2040214012242 has 384 divisors, whose sum is σ = 5171014785024. Its totient is φ = 533665262592.

The previous prime is 2040214012241. The next prime is 2040214012247. The reversal of 2040214012242 is 2422104120402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2040214012241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5879579113 + ... + 5879579459.

It is an arithmetic number, because the mean of its divisors is an integer number (13466184336).

Almost surely, 2^{2040214012242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040214012242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585507392512).

2040214012242 is an abundant number, since it is smaller than the sum of its proper divisors (3130800772782).

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

2040214012242 is a wasteful number, since it uses less digits than its factorization.

2040214012242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2040214012242 its reverse (2422104120402), we get a palindrome (4462318132644).

The spelling of 2040214012242 in words is "two trillion, forty billion, two hundred fourteen million, twelve thousand, two hundred forty-two".