2859440416144 has 135 divisors (see below), whose sum is σ = 6204791802339. Its totient is φ = 1275951905280.

The previous prime is 2859440416139. The next prime is 2859440416159. The reversal of 2859440416144 is 4416140449582.

The square root of 2859440416144 is 1690988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20511968400 + 2838928447744 = 143220^2 + 1684912^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 2859440416091 and 2859440416100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2725872132 + ... + 2725873180.

Almost surely, 2^{2859440416144} is an apocalyptic number.

2859440416144 is the 1690988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2859440416144

2859440416144 is an abundant number, since it is smaller than the sum of its proper divisors (3345351386195).

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

2859440416144 is an equidigital number, since it uses as much as digits as its factorization.

2859440416144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 2859440416144 in words is "two trillion, eight hundred fifty-nine billion, four hundred forty million, four hundred sixteen thousand, one hundred forty-four".