2153313120 has 192 divisors, whose sum is σ = 7859013120. Its totient is φ = 485388288.

The previous prime is 2153313119. The next prime is 2153313137. The reversal of 2153313120 is 213133512.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 240891 + ... + 249669.

It is an arithmetic number, because the mean of its divisors is an integer number (40932360).

Almost surely, 2^2153313120 is an apocalyptic number.

2153313120 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 2153313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929506560).

2153313120 is an abundant number, since it is smaller than the sum of its proper divisors (5705700000).

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

2153313120 is a wasteful number, since it uses less digits than its factorization.

2153313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 2153313120 is about 46403.8050163992. The cubic root of 2153313120 is about 1291.3255049222.

Adding to 2153313120 its reverse (213133512), we get a palindrome (2366446632).

The spelling of 2153313120 in words is "two billion, one hundred fifty-three million, three hundred thirteen thousand, one hundred twenty".