2140206076320 has 288 divisors, whose sum is σ = 7303286882304. Its totient is φ = 526592102400.

The previous prime is 2140206076237. The next prime is 2140206076321. The reversal of 2140206076320 is 236706020412.

It is not an unprimeable number, because it can be changed into a prime (2140206076321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261283425 + ... + 261291615.

It is an arithmetic number, because the mean of its divisors is an integer number (25358635008).

Almost surely, 2^{2140206076320} is an apocalyptic number.

2140206076320 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 2140206076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651643441152).

2140206076320 is an abundant number, since it is smaller than the sum of its proper divisors (5163080805984).

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

2140206076320 is a wasteful number, since it uses less digits than its factorization.

2140206076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11456 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 2140206076320 in words is "two trillion, one hundred forty billion, two hundred six million, seventy-six thousand, three hundred twenty".