2186245152 has 432 divisors, whose sum is σ = 8258409432. Its totient is φ = 541900800.

The previous prime is 2186245133. The next prime is 2186245157. The reversal of 2186245152 is 2515426812.

2186245152 is a `hidden beast` number, since 2 + 18 + 624 + 5 + 15 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2065157136 + 121088016 = 45444^2 + 11004^2 .

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 (2186245157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3118402 + ... + 3119102.

Almost surely, 2^2186245152 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 2186245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129204716).

2186245152 is an abundant number, since it is smaller than the sum of its proper divisors (6072164280).

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

2186245152 is a wasteful number, since it uses less digits than its factorization.

2186245152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 743 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2186245152 is about 46757.3005208812. The cubic root of 2186245152 is about 1297.8752573808.

The spelling of 2186245152 in words is "two billion, one hundred eighty-six million, two hundred forty-five thousand, one hundred fifty-two".