2042288640 has 720 divisors, whose sum is σ = 8659883232. Its totient is φ = 459841536.

The previous prime is 2042288617. The next prime is 2042288641. The reversal of 2042288640 is 468822402.

It is a happy number.

2042288640 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 2 + 8 + 8 + 640 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2042288595 and 2042288604.

It is not an unprimeable number, because it can be changed into a prime (2042288641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481887 + ... + 30481953.

Almost surely, 2^2042288640 is an apocalyptic number.

2042288640 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 2042288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329941616).

2042288640 is an abundant number, since it is smaller than the sum of its proper divisors (6617594592).

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

2042288640 is an frugal number, since it uses more digits than its factorization.

2042288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2042288640 is about 45191.6877312631. The cubic root of 2042288640 is about 1268.7392452517.

The spelling of 2042288640 in words is "two billion, forty-two million, two hundred eighty-eight thousand, six hundred forty".