2132261796672 has 336 divisors, whose sum is σ = 7624794544640. Its totient is φ = 577153009152.

The previous prime is 2132261796671. The next prime is 2132261796793. The reversal of 2132261796672 is 2766971622312.

2132261796672 is a `hidden beast` number, since 2 + 13 + 2 + 2 + 617 + 9 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132261796671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1552983 + ... + 2583849.

Almost surely, 2^{2132261796672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132261796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812397272320).

2132261796672 is an abundant number, since it is smaller than the sum of its proper divisors (5492532747968).

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

2132261796672 is a wasteful number, since it uses less digits than its factorization.

2132261796672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030920 (or 1030898 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 2132261796672 in words is "two trillion, one hundred thirty-two billion, two hundred sixty-one million, seven hundred ninety-six thousand, six hundred seventy-two".