2171152368 has 270 divisors, whose sum is σ = 7772283792. Its totient is φ = 563713920.

The previous prime is 2171152351. The next prime is 2171152393. The reversal of 2171152368 is 8632511712.

2171152368 is a `hidden beast` number, since 2 + 1 + 71 + 1 + 523 + 68 = 666.

It is a super-4 number, since 4×2171152368⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 852505 + ... + 855047.

Almost surely, 2^2171152368 is an apocalyptic number.

2171152368 is a gapful number since it is divisible by the number (28) 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 2171152368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886141896).

2171152368 is an abundant number, since it is smaller than the sum of its proper divisors (5601131424).

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

2171152368 is a wasteful number, since it uses less digits than its factorization.

2171152368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593 (or 2566 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2171152368 is about 46595.6260608225. The cubic root of 2171152368 is about 1294.8817228232.

The spelling of 2171152368 in words is "two billion, one hundred seventy-one million, one hundred fifty-two thousand, three hundred sixty-eight".