2452320400 has 90 divisors (see below), whose sum is σ = 5960512166. Its totient is φ = 969600000.

The previous prime is 2452320391. The next prime is 2452320433. The reversal of 2452320400 is 40232542.

It can be written as a sum of positive squares in 9 ways, for example, as 137170944 + 2315149456 = 11712^2 + 48116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4080100 + ... + 4080700.

Almost surely, 2^2452320400 is an apocalyptic number.

2452320400 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 2452320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980256083).

2452320400 is an abundant number, since it is smaller than the sum of its proper divisors (3508191766).

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

2452320400 is a wasteful number, since it uses less digits than its factorization.

2452320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2452320400 is about 49520.9087154103. The cubic root of 2452320400 is about 1348.5252116057.

Adding to 2452320400 its reverse (40232542), we get a palindrome (2492552942).

The spelling of 2452320400 in words is "two billion, four hundred fifty-two million, three hundred twenty thousand, four hundred".