2819142144 has 560 divisors, whose sum is σ = 10519451712. Its totient is φ = 734552064.

The previous prime is 2819142127. The next prime is 2819142167. The reversal of 2819142144 is 4412419182.

2819142144 is a `hidden beast` number, since 2 + 8 + 191 + 421 + 44 = 666.

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 = 2819142099 and 2819142108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965527 + ... + 33965609.

Almost surely, 2^2819142144 is an apocalyptic number.

2819142144 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 2819142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259725856).

2819142144 is an abundant number, since it is smaller than the sum of its proper divisors (7700309568).

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

2819142144 is an frugal number, since it uses more digits than its factorization.

2819142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2819142144 is about 53095.5943935088. The cubic root of 2819142144 is about 1412.6643691457.

The spelling of 2819142144 in words is "two billion, eight hundred nineteen million, one hundred forty-two thousand, one hundred forty-four".