2140635781872 has 240 divisors, whose sum is σ = 7183519392000. Its totient is φ = 608535607680.

The previous prime is 2140635781853. The next prime is 2140635781877. The reversal of 2140635781872 is 2781875360412.

2140635781872 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 63 + 578 + 1 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140635781877) 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, 3958347 + ... + 4466517.

It is an arithmetic number, because the mean of its divisors is an integer number (29931330800).

Almost surely, 2^{2140635781872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140635781872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591759696000).

2140635781872 is an abundant number, since it is smaller than the sum of its proper divisors (5042883610128).

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

2140635781872 is a wasteful number, since it uses less digits than its factorization.

2140635781872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508401 (or 508382 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 2140635781872 in words is "two trillion, one hundred forty billion, six hundred thirty-five million, seven hundred eighty-one thousand, eight hundred seventy-two".