2109409229952 has 256 divisors, whose sum is σ = 6256785427200. Its totient is φ = 699631755264.

The previous prime is 2109409229951. The next prime is 2109409230029. The reversal of 2109409229952 is 2599229049012.

2109409229952 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 409 + 229 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×2109409229952² (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 not an unprimeable number, because it can be changed into a prime (2109409229951) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1142072293 + ... + 1142074139.

It is an arithmetic number, because the mean of its divisors is an integer number (24440568075).

Almost surely, 2^{2109409229952} 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 2109409229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128392713600).

2109409229952 is an abundant number, since it is smaller than the sum of its proper divisors (4147376197248).

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

2109409229952 is a wasteful number, since it uses less digits than its factorization.

2109409229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 2109409229952 in words is "two trillion, one hundred nine billion, four hundred nine million, two hundred twenty-nine thousand, nine hundred fifty-two".