2135416733952 has 288 divisors, whose sum is σ = 6307135414272. Its totient is φ = 637963763712.

The previous prime is 2135416733941. The next prime is 2135416733987. The reversal of 2135416733952 is 2593376145312.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 2135416733895 and 2135416733904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68149713 + ... + 68181039.

It is an arithmetic number, because the mean of its divisors is an integer number (21899775744).

Almost surely, 2^{2135416733952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135416733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153567707136).

2135416733952 is an abundant number, since it is smaller than the sum of its proper divisors (4171718680320).

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

2135416733952 is a wasteful number, since it uses less digits than its factorization.

2135416733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31613 (or 31599 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 2135416733952 in words is "two trillion, one hundred thirty-five billion, four hundred sixteen million, seven hundred thirty-three thousand, nine hundred fifty-two".