2152533120 has 256 divisors, whose sum is σ = 7216214400. Its totient is φ = 544997376.

The previous prime is 2152533083. The next prime is 2152533133. The reversal of 2152533120 is 213352512.

It is a happy number.

It is a super-3 number, since 3×2152533120³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3730272 + ... + 3730848.

Almost surely, 2^2152533120 is an apocalyptic number.

2152533120 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 2152533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608107200).

2152533120 is an abundant number, since it is smaller than the sum of its proper divisors (5063681280).

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

2152533120 is a wasteful number, since it uses less digits than its factorization.

2152533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2152533120 is about 46395.3997719602. The cubic root of 2152533120 is about 1291.1695660690.

Adding to 2152533120 its reverse (213352512), we get a palindrome (2365885632).

It can be divided in two parts, 21525 and 33120, that added together give a palindrome (54645).

The spelling of 2152533120 in words is "two billion, one hundred fifty-two million, five hundred thirty-three thousand, one hundred twenty".