2073335040 has 324 divisors, whose sum is σ = 8346982644. Its totient is φ = 473776128.

The previous prime is 2073335009. The next prime is 2073335051. The reversal of 2073335040 is 405333702.

It can be written as a sum of positive squares in 2 ways, for example, as 392990976 + 1680344064 = 19824^2 + 40992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2073334995 and 2073335013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562644 + ... + 566316.

Almost surely, 2^2073335040 is an apocalyptic number.

2073335040 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 2073335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173491322).

2073335040 is an abundant number, since it is smaller than the sum of its proper divisors (6273647604).

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

2073335040 is a wasteful number, since it uses less digits than its factorization.

2073335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 2073335040 is about 45533.8889180355. Note that the first 3 decimals coincide. The cubic root of 2073335040 is about 1275.1359670454.

Adding to 2073335040 its reverse (405333702), we get a palindrome (2478668742).

The spelling of 2073335040 in words is "two billion, seventy-three million, three hundred thirty-five thousand, forty".