2040629760 has 400 divisors, whose sum is σ = 7881511176. Its totient is φ = 501645312.

The previous prime is 2040629753. The next prime is 2040629771. The reversal of 2040629760 is 679260402.

It is a happy number.

2040629760 is a `hidden beast` number, since 20 + 4 + 0 + 629 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1390991616 + 649638144 = 37296^2 + 25488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2695302 + ... + 2696058.

Almost surely, 2^2040629760 is an apocalyptic number.

2040629760 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 2040629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940755588).

2040629760 is an abundant number, since it is smaller than the sum of its proper divisors (5840881416).

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

2040629760 is an equidigital number, since it uses as much as digits as its factorization.

2040629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2040629760 is about 45173.3301849664. The cubic root of 2040629760 is about 1268.3956346197.

The spelling of 2040629760 in words is "two billion, forty million, six hundred twenty-nine thousand, seven hundred sixty".