2138452050240 has 1008 divisors, whose sum is σ = 8222873917440. Its totient is φ = 509657702400.

The previous prime is 2138452050221. The next prime is 2138452050289. The reversal of 2138452050240 is 420502548312.

2138452050240 is a `hidden beast` number, since 2 + 1 + 3 + 84 + 520 + 50 + 2 + 4 + 0 = 666.

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 = 2138452050195 and 2138452050204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9338218446 + ... + 9338218674.

Almost surely, 2^{2138452050240} is an apocalyptic number.

2138452050240 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 2138452050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111436958720).

2138452050240 is an abundant number, since it is smaller than the sum of its proper divisors (6084421867200).

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

2138452050240 is a wasteful number, since it uses less digits than its factorization.

2138452050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2138452050240 its reverse (420502548312), we get a palindrome (2558954598552).

The spelling of 2138452050240 in words is "two trillion, one hundred thirty-eight billion, four hundred fifty-two million, fifty thousand, two hundred forty".