2532350400 has 168 divisors, whose sum is σ = 8745809280. Its totient is φ = 639728640.

The previous prime is 2532350371. The next prime is 2532350417. The reversal of 2532350400 is 40532352.

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 23 ways as a sum of consecutive naturals, for example, 77317 + ... + 105083.

Almost surely, 2^2532350400 is an apocalyptic number.

2532350400 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 2532350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372904640).

2532350400 is an abundant number, since it is smaller than the sum of its proper divisors (6213458880).

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

2532350400 is a wasteful number, since it uses less digits than its factorization.

2532350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27811 (or 27796 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2532350400 is about 50322.4641685997. The cubic root of 2532350400 is about 1363.0379033714.

Adding to 2532350400 its reverse (40532352), we get a palindrome (2572882752).

The spelling of 2532350400 in words is "two billion, five hundred thirty-two million, three hundred fifty thousand, four hundred".