2413132000 has 48 divisors (see below), whose sum is σ = 5929075152. Its totient is φ = 965251200.

The previous prime is 2413131989. The next prime is 2413132003. The reversal of 2413132000 is 2313142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413132003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297642 + ... + 305641.

It is an arithmetic number, because the mean of its divisors is an integer number (123522399).

Almost surely, 2^2413132000 is an apocalyptic number.

2413132000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413132000 is an abundant number, since it is smaller than the sum of its proper divisors (3515943152).

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

2413132000 is an equidigital number, since it uses as much as digits as its factorization.

2413132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603308 (or 603290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2413132000 is about 49123.6399302820. The cubic root of 2413132000 is about 1341.3034024609.

Adding to 2413132000 its reverse (2313142), we get a palindrome (2415445142).

The spelling of 2413132000 in words is "two billion, four hundred thirteen million, one hundred thirty-two thousand".