2586484141920 has 576 divisors, whose sum is σ = 10690562373120. Its totient is φ = 572119096320.

The previous prime is 2586484141907. The next prime is 2586484141937. The reversal of 2586484141920 is 291414846852.

2586484141920 is a `hidden beast` number, since 2 + 586 + 4 + 8 + 41 + 4 + 19 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29016139 + ... + 29105141.

It is an arithmetic number, because the mean of its divisors is an integer number (18560004120).

Almost surely, 2^{2586484141920} is an apocalyptic number.

2586484141920 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 2586484141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345281186560).

2586484141920 is an abundant number, since it is smaller than the sum of its proper divisors (8104078231200).

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

2586484141920 is a wasteful number, since it uses less digits than its factorization.

2586484141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89096 (or 89051 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2586484141920 in words is "two trillion, five hundred eighty-six billion, four hundred eighty-four million, one hundred forty-one thousand, nine hundred twenty".