2140851913200 has 1440 divisors, whose sum is σ = 10287732257280. Its totient is φ = 410605977600.

The previous prime is 2140851913181. The next prime is 2140851913217. The reversal of 2140851913200 is 23191580412.

2140851913200 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 8 + 519 + 132 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 140532784 + ... + 140548016.

It is an arithmetic number, because the mean of its divisors is an integer number (7144258512).

Almost surely, 2^{2140851913200} is an apocalyptic number.

2140851913200 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 2140851913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143866128640).

2140851913200 is an abundant number, since it is smaller than the sum of its proper divisors (8146880344080).

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

2140851913200 is a wasteful number, since it uses less digits than its factorization.

2140851913200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15274 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2140851913200 in words is "two trillion, one hundred forty billion, eight hundred fifty-one million, nine hundred thirteen thousand, two hundred".