2133369600 has 216 divisors, whose sum is σ = 7348196352. Its totient is φ = 544051200.

The previous prime is 2133369551. The next prime is 2133369649. The reversal of 2133369600 is 69633312.

It is an interprime number because it is at equal distance from previous prime (2133369551) and next prime (2133369649).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 439185 + ... + 444015.

Almost surely, 2^2133369600 is an apocalyptic number.

2133369600 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 2133369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674098176).

2133369600 is an abundant number, since it is smaller than the sum of its proper divisors (5214826752).

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

2133369600 is a wasteful number, since it uses less digits than its factorization.

2133369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 33.

The square root of 2133369600 is about 46188.4141316846. The cubic root of 2133369600 is about 1287.3264742415.

The spelling of 2133369600 in words is "two billion, one hundred thirty-three million, three hundred sixty-nine thousand, six hundred".