2140541311040 has 112 divisors (see below), whose sum is σ = 5572608681024. Its totient is φ = 776689612800.

The previous prime is 2140541311037. The next prime is 2140541311043. The reversal of 2140541311040 is 401131450412.

It is an interprime number because it is at equal distance from previous prime (2140541311037) and next prime (2140541311043).

It is not an unprimeable number, because it can be changed into a prime (2140541311043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 963167 + ... + 2282273.

It is an arithmetic number, because the mean of its divisors is an integer number (49755434652).

Almost surely, 2^{2140541311040} is an apocalyptic number.

2140541311040 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 2140541311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786304340512).

2140541311040 is an abundant number, since it is smaller than the sum of its proper divisors (3432067369984).

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

2140541311040 is a wasteful number, since it uses less digits than its factorization.

2140541311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319596 (or 1319586 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 2140541311040 its reverse (401131450412), we get a palindrome (2541672761452).

The spelling of 2140541311040 in words is "two trillion, one hundred forty billion, five hundred forty-one million, three hundred eleven thousand, forty".