2140221241340 has 288 divisors, whose sum is σ = 5777068106880. Its totient is φ = 647798280192.

The previous prime is 2140221241303. The next prime is 2140221241349. The reversal of 2140221241340 is 431421220412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140221241349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627077474 + ... + 627080886.

It is an arithmetic number, because the mean of its divisors is an integer number (20059264260).

Almost surely, 2^{2140221241340} is an apocalyptic number.

2140221241340 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 2140221241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888534053440).

2140221241340 is an abundant number, since it is smaller than the sum of its proper divisors (3636846865540).

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

2140221241340 is a wasteful number, since it uses less digits than its factorization.

2140221241340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2140221241340 its reverse (431421220412), we get a palindrome (2571642461752).

The spelling of 2140221241340 in words is "two trillion, one hundred forty billion, two hundred twenty-one million, two hundred forty-one thousand, three hundred forty".