2132476416000 has 832 divisors, whose sum is σ = 9011221839360. Its totient is φ = 487401062400.

The previous prime is 2132476415983. The next prime is 2132476416001. The reversal of 2132476416000 is 6146742312.

2132476416000 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 4 + 7 + 6 + 41 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132476416001) 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 63 ways as a sum of consecutive naturals, for example, 96756982 + ... + 96779018.

It is an arithmetic number, because the mean of its divisors is an integer number (10830795480).

Almost surely, 2^{2132476416000} is an apocalyptic number.

2132476416000 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 2132476416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505610919680).

2132476416000 is an abundant number, since it is smaller than the sum of its proper divisors (6878745423360).

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

2132476416000 is an equidigital number, since it uses as much as digits as its factorization.

2132476416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2132476416000 in words is "two trillion, one hundred thirty-two billion, four hundred seventy-six million, four hundred sixteen thousand".