2051032320 has 288 divisors, whose sum is σ = 7708659840. Its totient is φ = 514621440.

The previous prime is 2051032307. The next prime is 2051032327. The reversal of 2051032320 is 232301502.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2051032293 and 2051032302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051032327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585775 + ... + 589265.

It is an arithmetic number, because the mean of its divisors is an integer number (26766180).

Almost surely, 2^2051032320 is an apocalyptic number.

2051032320 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 2051032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854329920).

2051032320 is an abundant number, since it is smaller than the sum of its proper divisors (5657627520).

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

2051032320 is a wasteful number, since it uses less digits than its factorization.

2051032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2051032320 is about 45288.3243231630. The cubic root of 2051032320 is about 1270.5472913458.

Adding to 2051032320 its reverse (232301502), we get a palindrome (2283333822).

The spelling of 2051032320 in words is "two billion, fifty-one million, thirty-two thousand, three hundred twenty".