2861561364480 has 1800 divisors, whose sum is σ = 12870810231048. Its totient is φ = 602866188288.

The previous prime is 2861561364391. The next prime is 2861561364491. The reversal of 2861561364480 is 844631651682.

2861561364480 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 561 + 36 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 611849355264 + 2249712009216 = 782208^2 + 1499904^2 .

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 119 ways as a sum of consecutive naturals, for example, 4226825902 + ... + 4226826578.

Almost surely, 2^{2861561364480} is an apocalyptic number.

2861561364480 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 2861561364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435405115524).

2861561364480 is an abundant number, since it is smaller than the sum of its proper divisors (10009248866568).

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

2861561364480 is an equidigital number, since it uses as much as digits as its factorization.

2861561364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2861561364480 in words is "two trillion, eight hundred sixty-one billion, five hundred sixty-one million, three hundred sixty-four thousand, four hundred eighty".