2152610208 has 192 divisors, whose sum is σ = 7351223040. Its totient is φ = 599961600.

The previous prime is 2152610189. The next prime is 2152610219. The reversal of 2152610208 is 8020162512.

It is a happy number.

2152610208 is a `hidden beast` number, since 21 + 5 + 2 + 610 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243628 + ... + 252308.

It is an arithmetic number, because the mean of its divisors is an integer number (38287620).

Almost surely, 2^2152610208 is an apocalyptic number.

2152610208 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 2152610208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675611520).

2152610208 is an abundant number, since it is smaller than the sum of its proper divisors (5198612832).

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

2152610208 is a wasteful number, since it uses less digits than its factorization.

2152610208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8748 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2152610208 is about 46396.2305365425. The cubic root of 2152610208 is about 1291.1849793032.

The spelling of 2152610208 in words is "two billion, one hundred fifty-two million, six hundred ten thousand, two hundred eight".