2152246140 has 288 divisors, whose sum is σ = 7467393024. Its totient is φ = 516015360.

The previous prime is 2152246139. The next prime is 2152246157. The reversal of 2152246140 is 416422512.

2152246140 is a `hidden beast` number, since 21 + 5 + 2 + 24 + 614 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6789262 + ... + 6789578.

It is an arithmetic number, because the mean of its divisors is an integer number (25928448).

Almost surely, 2^2152246140 is an apocalyptic number.

2152246140 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 2152246140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733696512).

2152246140 is an abundant number, since it is smaller than the sum of its proper divisors (5315146884).

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

2152246140 is a wasteful number, since it uses less digits than its factorization.

2152246140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2152246140 is about 46392.3069053480. The cubic root of 2152246140 is about 1291.1121830866.

Adding to 2152246140 its reverse (416422512), we get a palindrome (2568668652).

The spelling of 2152246140 in words is "two billion, one hundred fifty-two million, two hundred forty-six thousand, one hundred forty".