2084407129530 has 192 divisors, whose sum is σ = 6335334165888. Its totient is φ = 469856378880.

The previous prime is 2084407129529. The next prime is 2084407129537. The reversal of 2084407129530 is 359217044802.

2084407129530 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 40 + 71 + 2 + 9 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2084407129537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650802 + ... + 2142978.

It is an arithmetic number, because the mean of its divisors is an integer number (32996532114).

Almost surely, 2^{2084407129530} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2084407129530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167667082944).

2084407129530 is an abundant number, since it is smaller than the sum of its proper divisors (4250927036358).

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

2084407129530 is a wasteful number, since it uses less digits than its factorization.

2084407129530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492301 (or 1492298 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2084407129530 in words is "two trillion, eighty-four billion, four hundred seven million, one hundred twenty-nine thousand, five hundred thirty".