2819665417536 has 672 divisors, whose sum is σ = 9270446889600. Its totient is φ = 811566120960.

The previous prime is 2819665417531. The next prime is 2819665417549. The reversal of 2819665417536 is 6357145669182.

It is a happy number.

2819665417536 is a `hidden beast` number, since 2 + 8 + 1 + 96 + 6 + 5 + 4 + 1 + 7 + 536 = 666.

It is a super-2 number, since 2×2819665417536² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819665417531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401284770 + ... + 3401285598.

Almost surely, 2^{2819665417536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2819665417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635223444800).

2819665417536 is an abundant number, since it is smaller than the sum of its proper divisors (6450781472064).

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

2819665417536 is a wasteful number, since it uses less digits than its factorization.

2819665417536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1154 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 2819665417536 in words is "two trillion, eight hundred nineteen billion, six hundred sixty-five million, four hundred seventeen thousand, five hundred thirty-six".