2584480711680 has 1320 divisors, whose sum is σ = 10902042379800. Its totient is φ = 583692189696.

The previous prime is 2584480711667. The next prime is 2584480711693. The reversal of 2584480711680 is 861170844852.

2584480711680 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 480 + 71 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2584480711667) and next prime (2584480711693).

It can be written as a sum of positive squares in 4 ways, for example, as 28677390336 + 2555803321344 = 169344^2 + 1598688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1808593206 + ... + 1808594634.

It is an arithmetic number, because the mean of its divisors is an integer number (8259123015).

Almost surely, 2^{2584480711680} is an apocalyptic number.

2584480711680 is a gapful number since it is divisible by the number (20) 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 2584480711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5451021189900).

2584480711680 is an abundant number, since it is smaller than the sum of its proper divisors (8317561668120).

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

2584480711680 is a wasteful number, since it uses less digits than its factorization.

2584480711680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 2584480711680 in words is "two trillion, five hundred eighty-four billion, four hundred eighty million, seven hundred eleven thousand, six hundred eighty".