2151817032000 has 672 divisors, whose sum is σ = 7532671386240. Its totient is φ = 541176422400.

The previous prime is 2151817031993. The next prime is 2151817032017. The reversal of 2151817032000 is 2307181512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2659847596 + ... + 2659848404.

It is an arithmetic number, because the mean of its divisors is an integer number (11209332420).

Almost surely, 2^{2151817032000} is an apocalyptic number.

2151817032000 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 2151817032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766335693120).

2151817032000 is an abundant number, since it is smaller than the sum of its proper divisors (5380854354240).

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

2151817032000 is a wasteful number, since it uses less digits than its factorization.

2151817032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 2151817032000 in words is "two trillion, one hundred fifty-one billion, eight hundred seventeen million, thirty-two thousand".