2151667152 has 200 divisors, whose sum is σ = 6706157832. Its totient is φ = 663552000.

The previous prime is 2151667123. The next prime is 2151667157. The reversal of 2151667152 is 2517661512.

2151667152 is a `hidden beast` number, since 21 + 516 + 6 + 71 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 698227776 + 1453439376 = 26424^2 + 38124^2 .

It is a super-2 number, since 2×2151667152² = 9259343065991582208, which contains 22 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 not an unprimeable number, because it can be changed into a prime (2151667157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1343152 + ... + 1344752.

Almost surely, 2^2151667152 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 2151667152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353078916).

2151667152 is an abundant number, since it is smaller than the sum of its proper divisors (4554490680).

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

2151667152 is a wasteful number, since it uses less digits than its factorization.

2151667152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1684 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 2151667152 is about 46386.0663561807. The cubic root of 2151667152 is about 1290.9963962209.

The spelling of 2151667152 in words is "two billion, one hundred fifty-one million, six hundred sixty-seven thousand, one hundred fifty-two".