2140735703040 has 1920 divisors, whose sum is σ = 9015947740800. Its totient is φ = 480305479680.

The previous prime is 2140735702969. The next prime is 2140735703063. The reversal of 2140735703040 is 403075370412.

2140735703040 is a `hidden beast` number, since 2 + 1 + 40 + 7 + 3 + 570 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a junction number, because it is equal to n+sod(n) for n = 2140735702986 and 2140735703004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9187706764 + ... + 9187706996.

It is an arithmetic number, because the mean of its divisors is an integer number (4695806115).

Almost surely, 2^{2140735703040} is an apocalyptic number.

2140735703040 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 2140735703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507973870400).

2140735703040 is an abundant number, since it is smaller than the sum of its proper divisors (6875212037760).

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

2140735703040 is a wasteful number, since it uses less digits than its factorization.

2140735703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 2140735703040 in words is "two trillion, one hundred forty billion, seven hundred thirty-five million, seven hundred three thousand, forty".