2432152000000 has 280 divisors, whose sum is σ = 6394467368520. Its totient is φ = 921600000000.

The previous prime is 2432151999899. The next prime is 2432152000001. The reversal of 2432152000000 is 2512342.

It is a super-2 number, since 2×2432152000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432152000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151992000 + ... + 152008000.

It is an arithmetic number, because the mean of its divisors is an integer number (22837383459).

Almost surely, 2^{2432152000000} is an apocalyptic number.

2432152000000 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 2432152000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197233684260).

2432152000000 is an abundant number, since it is smaller than the sum of its proper divisors (3962315368520).

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

2432152000000 is an frugal number, since it uses more digits than its factorization.

2432152000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16068 (or 16027 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 2432152000000 its reverse (2512342), we get a palindrome (2432154512342).

It can be divided in two parts, 2432 and 152000000, that multiplied together give a square (369664000000 = 608000²).

The spelling of 2432152000000 in words is "two trillion, four hundred thirty-two billion, one hundred fifty-two million", and thus it is an aban number.