2233532400 has 240 divisors, whose sum is σ = 7997488128. Its totient is φ = 528128000.

The previous prime is 2233532381. The next prime is 2233532447. The reversal of 2233532400 is 42353322.

2233532400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 539137 + ... + 543263.

Almost surely, 2^2233532400 is an apocalyptic number.

2233532400 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 2233532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998744064).

2233532400 is an abundant number, since it is smaller than the sum of its proper divisors (5763955728).

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

2233532400 is a wasteful number, since it uses less digits than its factorization.

2233532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 2233532400 is about 47260.2623776043. The cubic root of 2233532400 is about 1307.1660274961.

Adding to 2233532400 its reverse (42353322), we get a palindrome (2275885722).

The spelling of 2233532400 in words is "two billion, two hundred thirty-three million, five hundred thirty-two thousand, four hundred".