2133379200 has 384 divisors, whose sum is σ = 7437024000. Its totient is φ = 536739840.

The previous prime is 2133379177. The next prime is 2133379201. The reversal of 2133379200 is 29733312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2133379201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21993552 + ... + 21993648.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2^2133379200 is an apocalyptic number.

2133379200 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 2133379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718512000).

2133379200 is an abundant number, since it is smaller than the sum of its proper divisors (5303644800).

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

2133379200 is a wasteful number, since it uses less digits than its factorization.

2133379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 2133379200 is about 46188.5180537328. The cubic root of 2133379200 is about 1287.3284051955.

It can be divided in two parts, 2133 and 379200, that multiplied together give a square (808833600 = 28440²).

The spelling of 2133379200 in words is "two billion, one hundred thirty-three million, three hundred seventy-nine thousand, two hundred".