2084555875584 has 1152 divisors, whose sum is σ = 7426497576960. Its totient is φ = 503819108352.

The previous prime is 2084555875541. The next prime is 2084555875607. The reversal of 2084555875584 is 4855785554802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7926067837 + ... + 7926068099.

It is an arithmetic number, because the mean of its divisors is an integer number (6446612480).

Almost surely, 2^{2084555875584} is an apocalyptic number.

2084555875584 is a gapful number since it is divisible by the number (24) 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 2084555875584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713248788480).

2084555875584 is an abundant number, since it is smaller than the sum of its proper divisors (5341941701376).

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

2084555875584 is a wasteful number, since it uses less digits than its factorization.

2084555875584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 358400000, while the sum is 66.

The spelling of 2084555875584 in words is "two trillion, eighty-four billion, five hundred fifty-five million, eight hundred seventy-five thousand, five hundred eighty-four".