2133552400 has 60 divisors (see below), whose sum is σ = 5858132992. Its totient is φ = 731502720.

The previous prime is 2133552397. The next prime is 2133552413. The reversal of 2133552400 is 42553312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 378192 + ... + 383791.

Almost surely, 2^2133552400 is an apocalyptic number.

2133552400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133552400 is an abundant number, since it is smaller than the sum of its proper divisors (3724580592).

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

2133552400 is a wasteful number, since it uses less digits than its factorization.

2133552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762008 (or 761997 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2133552400 is about 46190.3929405239. The cubic root of 2133552400 is about 1287.3632418287.

The spelling of 2133552400 in words is "two billion, one hundred thirty-three million, five hundred fifty-two thousand, four hundred".