2084558828352 has 672 divisors, whose sum is σ = 7476694939392. Its totient is φ = 498769920000.

The previous prime is 2084558828347. The next prime is 2084558828357. The reversal of 2084558828352 is 2538288554802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2084558828347) and next prime (2084558828357).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084558828357) 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, 1735685352 + ... + 1735686552.

It is an arithmetic number, because the mean of its divisors is an integer number (11126034136).

Almost surely, 2^{2084558828352} is an apocalyptic number.

2084558828352 is a gapful number since it is divisible by the number (22) 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 2084558828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738347469696).

2084558828352 is an abundant number, since it is smaller than the sum of its proper divisors (5392136111040).

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

2084558828352 is a wasteful number, since it uses less digits than its factorization.

2084558828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 49152000, while the sum is 60.

The spelling of 2084558828352 in words is "two trillion, eighty-four billion, five hundred fifty-eight million, eight hundred twenty-eight thousand, three hundred fifty-two".