2042807040 has 720 divisors, whose sum is σ = 8280407520. Its totient is φ = 477757440.

The previous prime is 2042807029. The next prime is 2042807047. The reversal of 2042807040 is 407082402.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2042806995 and 2042807013.

It is not an unprimeable number, because it can be changed into a prime (2042807047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33488610 + ... + 33488670.

It is an arithmetic number, because the mean of its divisors is an integer number (11500566).

Almost surely, 2^2042807040 is an apocalyptic number.

2042807040 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 2042807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140203760).

2042807040 is an abundant number, since it is smaller than the sum of its proper divisors (6237600480).

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

2042807040 is a wasteful number, since it uses less digits than its factorization.

2042807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2042807040 is about 45197.4229353843. The cubic root of 2042807040 is about 1268.8465854141.

Adding to 2042807040 its reverse (407082402), we get a palindrome (2449889442).

The spelling of 2042807040 in words is "two billion, forty-two million, eight hundred seven thousand, forty".