2128917676032 has 600 divisors, whose sum is σ = 7344091302240. Its totient is φ = 601974374400.

The previous prime is 2128917676007. The next prime is 2128917676051. The reversal of 2128917676032 is 2306767198212.

It is a happy number.

2128917676032 is a `hidden beast` number, since 2 + 1 + 28 + 9 + 1 + 7 + 6 + 7 + 603 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2128917676032.

It is a congruent number.

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, 938261394 + ... + 938263662.

Almost surely, 2^{2128917676032} 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 2128917676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672045651120).

2128917676032 is an abundant number, since it is smaller than the sum of its proper divisors (5215173626208).

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

2128917676032 is an equidigital number, since it uses as much as digits as its factorization.

2128917676032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2128917676032 in words is "two trillion, one hundred twenty-eight billion, nine hundred seventeen million, six hundred seventy-six thousand, thirty-two".