2120459520 has 288 divisors, whose sum is σ = 7158251520. Its totient is φ = 534159360.

The previous prime is 2120459519. The next prime is 2120459531. The reversal of 2120459520 is 259540212.

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

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, 5594691 + ... + 5595069.

It is an arithmetic number, because the mean of its divisors is an integer number (24855040).

Almost surely, 2^2120459520 is an apocalyptic number.

2120459520 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 2120459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579125760).

2120459520 is an abundant number, since it is smaller than the sum of its proper divisors (5037792000).

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

2120459520 is a wasteful number, since it uses less digits than its factorization.

2120459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2120459520 is about 46048.4475308343. The cubic root of 2120459520 is about 1284.7244676643.

Adding to 2120459520 its reverse (259540212), we get a palindrome (2379999732).

The spelling of 2120459520 in words is "two billion, one hundred twenty million, four hundred fifty-nine thousand, five hundred twenty".