2132449732224 has 320 divisors, whose sum is σ = 7389583914240. Its totient is φ = 597774587904.

The previous prime is 2132449732213. The next prime is 2132449732279. The reversal of 2132449732224 is 4222379442312.

2132449732224 is a `hidden beast` number, since 2 + 132 + 4 + 497 + 3 + 2 + 2 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2132449732224.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3569337 + ... + 4123719.

It is an arithmetic number, because the mean of its divisors is an integer number (23092449732).

Almost surely, 2^{2132449732224} is an apocalyptic number.

2132449732224 is a gapful number since it is divisible by the number (24) 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 2132449732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694791957120).

2132449732224 is an abundant number, since it is smaller than the sum of its proper divisors (5257134182016).

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

2132449732224 is an equidigital number, since it uses as much as digits as its factorization.

2132449732224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554469 (or 554448 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 2132449732224 in words is "two trillion, one hundred thirty-two billion, four hundred forty-nine million, seven hundred thirty-two thousand, two hundred twenty-four".