2153020320 has 576 divisors, whose sum is σ = 8562153600. Its totient is φ = 487710720.

The previous prime is 2153020273. The next prime is 2153020357. The reversal of 2153020320 is 230203512.

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 = 2153020293 and 2153020302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19752426 + ... + 19752534.

It is an arithmetic number, because the mean of its divisors is an integer number (14864850).

Almost surely, 2^2153020320 is an apocalyptic number.

2153020320 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 2153020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281076800).

2153020320 is an abundant number, since it is smaller than the sum of its proper divisors (6409133280).

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

2153020320 is a wasteful number, since it uses less digits than its factorization.

2153020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

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

The square root of 2153020320 is about 46400.6499954473. The cubic root of 2153020320 is about 1291.2669722912.

Adding to 2153020320 its reverse (230203512), we get a palindrome (2383223832).

The spelling of 2153020320 in words is "two billion, one hundred fifty-three million, twenty thousand, three hundred twenty".