2133531400 has 192 divisors, whose sum is σ = 6660823680. Its totient is φ = 613785600.

The previous prime is 2133531349. The next prime is 2133531427. The reversal of 2133531400 is 41353312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194872 + ... + 205528.

It is an arithmetic number, because the mean of its divisors is an integer number (34691790).

Almost surely, 2^2133531400 is an apocalyptic number.

2133531400 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 2133531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330411840).

2133531400 is an abundant number, since it is smaller than the sum of its proper divisors (4527292280).

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

2133531400 is a wasteful number, since it uses less digits than its factorization.

2133531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 2133531400 is about 46190.1656199672. The cubic root of 2133531400 is about 1287.3590180880.

Adding to 2133531400 its reverse (41353312), we get a palindrome (2174884712).

The spelling of 2133531400 in words is "two billion, one hundred thirty-three million, five hundred thirty-one thousand, four hundred".