2129848680960 has 3200 divisors, whose sum is σ = 10604729253888. Its totient is φ = 394149888000.

The previous prime is 2129848680919. The next prime is 2129848680977. The reversal of 2129848680960 is 690868489212.

2129848680960 is a `hidden beast` number, since 2 + 1 + 2 + 98 + 486 + 8 + 0 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6434587995 + ... + 6434588325.

Almost surely, 2^{2129848680960} is an apocalyptic number.

2129848680960 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 2129848680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302364626944).

2129848680960 is an abundant number, since it is smaller than the sum of its proper divisors (8474880572928).

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

2129848680960 is a wasteful number, since it uses less digits than its factorization.

2129848680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 2129848680960 in words is "two trillion, one hundred twenty-nine billion, eight hundred forty-eight million, six hundred eighty thousand, nine hundred sixty".