2259529020 has 240 divisors, whose sum is σ = 8528002560. Its totient is φ = 489234816.

The previous prime is 2259528989. The next prime is 2259529043. The reversal of 2259529020 is 209259522.

2259529020 is a `hidden beast` number, since 22 + 595 + 29 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 210217 + ... + 220703.

It is an arithmetic number, because the mean of its divisors is an integer number (35533344).

Almost surely, 2^2259529020 is an apocalyptic number.

2259529020 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 2259529020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264001280).

2259529020 is an abundant number, since it is smaller than the sum of its proper divisors (6268473540).

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

2259529020 is a wasteful number, since it uses less digits than its factorization.

2259529020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2259529020 is about 47534.5034685333. The cubic root of 2259529020 is about 1312.2179508221.

It can be divided in two parts, 22595 and 29020, that added together give a palindrome (51615).

The spelling of 2259529020 in words is "two billion, two hundred fifty-nine million, five hundred twenty-nine thousand, twenty".