2170087332000 has 1152 divisors, whose sum is σ = 8784322380288. Its totient is φ = 457187328000.

The previous prime is 2170087331999. The next prime is 2170087332031. The reversal of 2170087332000 is 2337800712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4011251730 + ... + 4011252270.

It is an arithmetic number, because the mean of its divisors is an integer number (7625279844).

Almost surely, 2^{2170087332000} is an apocalyptic number.

2170087332000 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 2170087332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392161190144).

2170087332000 is an abundant number, since it is smaller than the sum of its proper divisors (6614235048288).

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

2170087332000 is a wasteful number, since it uses less digits than its factorization.

2170087332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 2170087332000 in words is "two trillion, one hundred seventy billion, eighty-seven million, three hundred thirty-two thousand".