2819541816 has 96 divisors (see below), whose sum is σ = 9398494560. Its totient is φ = 743613696.

The previous prime is 2819541811. The next prime is 2819541827. The reversal of 2819541816 is 6181459182.

It is a happy number.

2819541816 is a `hidden beast` number, since 28 + 1 + 9 + 541 + 81 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819541811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208615 + ... + 221718.

It is an arithmetic number, because the mean of its divisors is an integer number (97900985).

Almost surely, 2^2819541816 is an apocalyptic number.

2819541816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2819541816 is an abundant number, since it is smaller than the sum of its proper divisors (6578952744).

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

2819541816 is a wasteful number, since it uses less digits than its factorization.

2819541816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430365 (or 430358 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 2819541816 is about 53099.3579622202. The cubic root of 2819541816 is about 1412.7311241709.

The spelling of 2819541816 in words is "two billion, eight hundred nineteen million, five hundred forty-one thousand, eight hundred sixteen".