2042414340 has 96 divisors (see below), whose sum is σ = 6082521984. Its totient is φ = 510289920.

The previous prime is 2042414293. The next prime is 2042414369. The reversal of 2042414340 is 434142402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042414340.

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, 227130 + ... + 235950.

It is an arithmetic number, because the mean of its divisors is an integer number (63359604).

Almost surely, 2^2042414340 is an apocalyptic number.

2042414340 is a gapful number since it is divisible by the number (20) 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 2042414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041260992).

2042414340 is an abundant number, since it is smaller than the sum of its proper divisors (4040107644).

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

2042414340 is a wasteful number, since it uses less digits than its factorization.

2042414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2042414340 is about 45193.0784523471. The cubic root of 2042414340 is about 1268.7652744244.

Adding to 2042414340 its reverse (434142402), we get a palindrome (2476556742).

The spelling of 2042414340 in words is "two billion, forty-two million, four hundred fourteen thousand, three hundred forty".