2032076640 has 192 divisors, whose sum is σ = 7394042880. Its totient is φ = 463626240.

The previous prime is 2032076639. The next prime is 2032076663. The reversal of 2032076640 is 466702302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2032076598 and 2032076607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78441 + ... + 101079.

It is an arithmetic number, because the mean of its divisors is an integer number (38510640).

Almost surely, 2^2032076640 is an apocalyptic number.

2032076640 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 2032076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697021440).

2032076640 is an abundant number, since it is smaller than the sum of its proper divisors (5361966240).

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

2032076640 is a wasteful number, since it uses less digits than its factorization.

2032076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22685 (or 22677 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 2032076640 is about 45078.5607578592. The cubic root of 2032076640 is about 1266.6210300578.

Adding to 2032076640 its reverse (466702302), we get a palindrome (2498778942).

The spelling of 2032076640 in words is "two billion, thirty-two million, seventy-six thousand, six hundred forty".