2170081440 has 144 divisors (see below), whose sum is σ = 7447658400. Its totient is φ = 575387136.

The previous prime is 2170081423. The next prime is 2170081471. The reversal of 2170081440 is 441800712.

2170081440 is a `hidden beast` number, since 217 + 0 + 0 + 8 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253551 + ... + 261969.

It is an arithmetic number, because the mean of its divisors is an integer number (51719850).

Almost surely, 2^2170081440 is an apocalyptic number.

2170081440 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 2170081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723829200).

2170081440 is an abundant number, since it is smaller than the sum of its proper divisors (5277576960).

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

2170081440 is a wasteful number, since it uses less digits than its factorization.

2170081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2170081440 is about 46584.1329209850. The cubic root of 2170081440 is about 1294.6687862618.

The spelling of 2170081440 in words is "two billion, one hundred seventy million, eighty-one thousand, four hundred forty".