2030434640 has 80 divisors (see below), whose sum is σ = 5105621136. Its totient is φ = 746496000.

The previous prime is 2030434633. The next prime is 2030434649. The reversal of 2030434640 is 464340302.

It can be written as a sum of positive squares in 8 ways, for example, as 121793296 + 1908641344 = 11036^2 + 43688^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030434649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246590 + ... + 254690.

Almost surely, 2^2030434640 is an apocalyptic number.

2030434640 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 2030434640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552810568).

2030434640 is an abundant number, since it is smaller than the sum of its proper divisors (3075186496).

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

2030434640 is a wasteful number, since it uses less digits than its factorization.

2030434640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8368 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2030434640 is about 45060.3444283330. The cubic root of 2030434640 is about 1266.2797778092.

Adding to 2030434640 its reverse (464340302), we get a palindrome (2494774942).

The spelling of 2030434640 in words is "two billion, thirty million, four hundred thirty-four thousand, six hundred forty".