2133414000 has 480 divisors, whose sum is σ = 7951544640. Its totient is φ = 532224000.

The previous prime is 2133413999. The next prime is 2133414001. The reversal of 2133414000 is 4143312.

It is an interprime number because it is at equal distance from previous prime (2133413999) and next prime (2133414001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133414001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31841967 + ... + 31842033.

It is an arithmetic number, because the mean of its divisors is an integer number (16565718).

Almost surely, 2^2133414000 is an apocalyptic number.

2133414000 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 2133414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975772320).

2133414000 is an abundant number, since it is smaller than the sum of its proper divisors (5818130640).

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

2133414000 is a wasteful number, since it uses less digits than its factorization.

2133414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133414000 is about 46188.8947691975. The cubic root of 2133414000 is about 1287.3354048552.

Adding to 2133414000 its reverse (4143312), we get a palindrome (2137557312).

The spelling of 2133414000 in words is "two billion, one hundred thirty-three million, four hundred fourteen thousand".