2861442144 has 288 divisors, whose sum is σ = 9357513984. Its totient is φ = 820976640.

The previous prime is 2861442137. The next prime is 2861442191. The reversal of 2861442144 is 4412441682.

2861442144 is a `hidden beast` number, since 28 + 614 + 4 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2861442144² = 16375702286918633472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2861442099 and 2861442108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12605359 + ... + 12605585.

It is an arithmetic number, because the mean of its divisors is an integer number (32491368).

Almost surely, 2^2861442144 is an apocalyptic number.

2861442144 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 2861442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678756992).

2861442144 is an abundant number, since it is smaller than the sum of its proper divisors (6496071840).

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

2861442144 is a wasteful number, since it uses less digits than its factorization.

2861442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2861442144 is about 53492.4494111085. The cubic root of 2861442144 is about 1419.6947938911.

The spelling of 2861442144 in words is "two billion, eight hundred sixty-one million, four hundred forty-two thousand, one hundred forty-four".