2150167680 has 640 divisors, whose sum is σ = 8441928000. Its totient is φ = 519561216.

The previous prime is 2150167651. The next prime is 2150167687. The reversal of 2150167680 is 867610512.

2150167680 is a `hidden beast` number, since 2 + 1 + 501 + 6 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (2150167687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36443491 + ... + 36443549.

Almost surely, 2^2150167680 is an apocalyptic number.

2150167680 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 2150167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220964000).

2150167680 is an abundant number, since it is smaller than the sum of its proper divisors (6291760320).

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

2150167680 is a wasteful number, since it uses less digits than its factorization.

2150167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

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

The square root of 2150167680 is about 46369.9005821664. The cubic root of 2150167680 is about 1290.6964330346.

The spelling of 2150167680 in words is "two billion, one hundred fifty million, one hundred sixty-seven thousand, six hundred eighty".