2133454120 has 96 divisors (see below), whose sum is σ = 5596727400. Its totient is φ = 729802752.

The previous prime is 2133454111. The next prime is 2133454129. The reversal of 2133454120 is 214543312.

It is an interprime number because it is at equal distance from previous prime (2133454111) and next prime (2133454129).

It can be written as a sum of positive squares in 4 ways, for example, as 1748745124 + 384708996 = 41818^2 + 19614^2 .

It is not an unprimeable number, because it can be changed into a prime (2133454129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114284 + ... + 1116196.

Almost surely, 2^2133454120 is an apocalyptic number.

2133454120 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 2133454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798363700).

2133454120 is an abundant number, since it is smaller than the sum of its proper divisors (3463273280).

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

2133454120 is a wasteful number, since it uses less digits than its factorization.

2133454120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2133454120 is about 46189.3290706847. The cubic root of 2133454120 is about 1287.3434744833.

Adding to 2133454120 its reverse (214543312), we get a palindrome (2347997432).

The spelling of 2133454120 in words is "two billion, one hundred thirty-three million, four hundred fifty-four thousand, one hundred twenty".