2150902195200 has 594 divisors, whose sum is σ = 8465117222562. Its totient is φ = 521424076800.

The previous prime is 2150902195187. The next prime is 2150902195201. The reversal of 2150902195200 is 25912090512.

It is a happy number.

2150902195200 is a `hidden beast` number, since 2 + 150 + 90 + 219 + 5 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 292326211584 + 1858575983616 = 540672^2 + 1363296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2150902195201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27839824 + ... + 27916976.

Almost surely, 2^{2150902195200} is an apocalyptic number.

2150902195200 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 2150902195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232558611281).

2150902195200 is an abundant number, since it is smaller than the sum of its proper divisors (6314215027362).

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

2150902195200 is a wasteful number, since it uses less digits than its factorization.

2150902195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77211 (or 77174 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 2150902195200 in words is "two trillion, one hundred fifty billion, nine hundred two million, one hundred ninety-five thousand, two hundred".