2052256320 has 336 divisors, whose sum is σ = 7548847488. Its totient is φ = 509952000.

The previous prime is 2052256309. The next prime is 2052256321. The reversal of 2052256320 is 236522502.

2052256320 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 25 + 632 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2052256321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8176195 + ... + 8176445.

It is an arithmetic number, because the mean of its divisors is an integer number (22466808).

Almost surely, 2^2052256320 is an apocalyptic number.

2052256320 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 2052256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774423744).

2052256320 is an abundant number, since it is smaller than the sum of its proper divisors (5496591168).

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

2052256320 is a wasteful number, since it uses less digits than its factorization.

2052256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2052256320 is about 45301.8357243942. The cubic root of 2052256320 is about 1270.7999837120.

Adding to 2052256320 its reverse (236522502), we get a palindrome (2288778822).

The spelling of 2052256320 in words is "two billion, fifty-two million, two hundred fifty-six thousand, three hundred twenty".