2042413440 has 64 divisors (see below), whose sum is σ = 6510198960. Its totient is φ = 544643072.

The previous prime is 2042413427. The next prime is 2042413447. The reversal of 2042413440 is 443142402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2042413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042413447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 529959 + ... + 533798.

Almost surely, 2^2042413440 is an apocalyptic number.

2042413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042413440 is an abundant number, since it is smaller than the sum of its proper divisors (4467785520).

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

2042413440 is a wasteful number, since it uses less digits than its factorization.

2042413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063779 (or 1063767 counting only the distinct ones).

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

The square root of 2042413440 is about 45193.0684950690. The cubic root of 2042413440 is about 1268.7650880618.

Adding to 2042413440 its reverse (443142402), we get a palindrome (2485555842).

The spelling of 2042413440 in words is "two billion, forty-two million, four hundred thirteen thousand, four hundred forty".