2133405120 has 896 divisors, whose sum is σ = 9363456000. Its totient is φ = 406425600.

The previous prime is 2133405119. The next prime is 2133405133. The reversal of 2133405120 is 215043312.

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 127 ways as a sum of consecutive naturals, for example, 68819505 + ... + 68819535.

Almost surely, 2^2133405120 is an apocalyptic number.

2133405120 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 2133405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681728000).

2133405120 is an abundant number, since it is smaller than the sum of its proper divisors (7230050880).

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

2133405120 is a wasteful number, since it uses less digits than its factorization.

2133405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2133405120 is about 46188.7986420950. The cubic root of 2133405120 is about 1287.3336187423. Note that the first 3 decimals are identical.

Adding to 2133405120 its reverse (215043312), we get a palindrome (2348448432).

It can be divided in two parts, 2133 and 405120, that added together give a triangular number (407253 = T₉₀₂).

The spelling of 2133405120 in words is "two billion, one hundred thirty-three million, four hundred five thousand, one hundred twenty".