2150389154304 has 640 divisors, whose sum is σ = 6699514060800. Its totient is φ = 680346501120.

The previous prime is 2150389154293. The next prime is 2150389154351. The reversal of 2150389154304 is 4034519830512.

2150389154304 is a `hidden beast` number, since 2 + 1 + 503 + 8 + 91 + 54 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2150389154304.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4489329937 + ... + 4489330415.

It is an arithmetic number, because the mean of its divisors is an integer number (10467990720).

Almost surely, 2^{2150389154304} is an apocalyptic number.

2150389154304 is a gapful number since it is divisible by the number (24) 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 2150389154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349757030400).

2150389154304 is an abundant number, since it is smaller than the sum of its proper divisors (4549124906496).

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

2150389154304 is a wasteful number, since it uses less digits than its factorization.

2150389154304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2150389154304 in words is "two trillion, one hundred fifty billion, three hundred eighty-nine million, one hundred fifty-four thousand, three hundred four".