2135729643840 has 2688 divisors, whose sum is σ = 9483589140480. Its totient is φ = 451480780800.

The previous prime is 2135729643833. The next prime is 2135729643847. The reversal of 2135729643840 is 483469275312.

2135729643840 is a `hidden beast` number, since 2 + 1 + 3 + 572 + 9 + 64 + 3 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2135729643833) and next prime (2135729643847).

It is a super-2 number, since 2×2135729643840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135729643847) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10121941335 + ... + 10121941545.

It is an arithmetic number, because the mean of its divisors is an integer number (3528120960).

It is a 1-persistent number, because it is pandigital, but 2⋅2135729643840 = 4271459287680 is not.

Almost surely, 2^{2135729643840} is an apocalyptic number.

2135729643840 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 2135729643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741794570240).

2135729643840 is an abundant number, since it is smaller than the sum of its proper divisors (7347859496640).

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

2135729643840 is a wasteful number, since it uses less digits than its factorization.

2135729643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2135729643840 in words is "two trillion, one hundred thirty-five billion, seven hundred twenty-nine million, six hundred forty-three thousand, eight hundred forty".