2140935048000 has 2268 divisors, whose sum is σ = 9637331112396. Its totient is φ = 452293632000.

The previous prime is 2140935047989. The next prime is 2140935048001. The reversal of 2140935048000 is 8405390412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2140935048000 is a `hidden beast` number, since 2 + 1 + 40 + 93 + 50 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1814473656576 + 326461391424 = 1347024^2 + 571368^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140935048001) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 52217927980 + ... + 52217928020.

Almost surely, 2^{2140935048000} is an apocalyptic number.

2140935048000 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 2140935048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4818665556198).

2140935048000 is an abundant number, since it is smaller than the sum of its proper divisors (7496396064396).

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

2140935048000 is a wasteful number, since it uses less digits than its factorization.

2140935048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2140935048000 in words is "two trillion, one hundred forty billion, nine hundred thirty-five million, forty-eight thousand".