2405132800 has 240 divisors, whose sum is σ = 7215341760. Its totient is φ = 775618560.

The previous prime is 2405132791. The next prime is 2405132809. The reversal of 2405132800 is 82315042.

It is an interprime number because it is at equal distance from previous prime (2405132791) and next prime (2405132809).

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

It is not an unprimeable number, because it can be changed into a prime (2405132809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522411 + ... + 1523989.

It is an arithmetic number, because the mean of its divisors is an integer number (30063924).

Almost surely, 2^2405132800 is an apocalyptic number.

2405132800 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 2405132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607670880).

2405132800 is an abundant number, since it is smaller than the sum of its proper divisors (4810208960).

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

2405132800 is a wasteful number, since it uses less digits than its factorization.

2405132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2405132800 is about 49042.1532969343. The cubic root of 2405132800 is about 1339.8196831698.

Adding to 2405132800 its reverse (82315042), we get a palindrome (2487447842).

The spelling of 2405132800 in words is "two billion, four hundred five million, one hundred thirty-two thousand, eight hundred".