2152314014240 has 384 divisors, whose sum is σ = 6123482426880. Its totient is φ = 706240512000.

The previous prime is 2152314014231. The next prime is 2152314014251. The reversal of 2152314014240 is 424104132512.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208937090 + ... + 208947390.

It is an arithmetic number, because the mean of its divisors is an integer number (15946568820).

Almost surely, 2^{2152314014240} is an apocalyptic number.

2152314014240 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 2152314014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061741213440).

2152314014240 is an abundant number, since it is smaller than the sum of its proper divisors (3971168412640).

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

2152314014240 is a wasteful number, since it uses less digits than its factorization.

2152314014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 2152314014240 its reverse (424104132512), we get a palindrome (2576418146752).

The spelling of 2152314014240 in words is "two trillion, one hundred fifty-two billion, three hundred fourteen million, fourteen thousand, two hundred forty".