2151759168 has 336 divisors, whose sum is σ = 7144999680. Its totient is φ = 637507584.

The previous prime is 2151759149. The next prime is 2151759199. The reversal of 2151759168 is 8619571512.

2151759168 is a `hidden beast` number, since 2 + 1 + 51 + 7 + 591 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5862921 + ... + 5863287.

It is an arithmetic number, because the mean of its divisors is an integer number (21264880).

Almost surely, 2^2151759168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572499840).

2151759168 is an abundant number, since it is smaller than the sum of its proper divisors (4993240512).

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

2151759168 is a wasteful number, since it uses less digits than its factorization.

2151759168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 2151759168 is about 46387.0581951475. The cubic root of 2151759168 is about 1291.0147991031.

The spelling of 2151759168 in words is "two billion, one hundred fifty-one million, seven hundred fifty-nine thousand, one hundred sixty-eight".