2129796072432 has 900 divisors, whose sum is σ = 7697036605896. Its totient is φ = 566663247360.

The previous prime is 2129796072431. The next prime is 2129796072449. The reversal of 2129796072432 is 2342706979212.

It is a happy number.

2129796072432 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 7 + 9 + 607 + 24 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129796072431) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1398420823 + ... + 1398422345.

Almost surely, 2^{2129796072432} 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 2129796072432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848518302948).

2129796072432 is an abundant number, since it is smaller than the sum of its proper divisors (5567240533464).

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

2129796072432 is a wasteful number, since it uses less digits than its factorization.

2129796072432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1615 counting only the distinct ones).

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

The spelling of 2129796072432 in words is "two trillion, one hundred twenty-nine billion, seven hundred ninety-six million, seventy-two thousand, four hundred thirty-two".