2811985672320 has 384 divisors, whose sum is σ = 10792756353600. Its totient is φ = 668830556160.

The previous prime is 2811985672303. The next prime is 2811985672339. The reversal of 2811985672320 is 232765891182.

2811985672320 is a `hidden beast` number, since 2 + 81 + 198 + 56 + 7 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2811985672320³ (a number of 38 digits) contains 333 as substring.

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, 2939391 + ... + 3776769.

Almost surely, 2^{2811985672320} is an apocalyptic number.

2811985672320 is a gapful number since it is divisible by the number (20) 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 2811985672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396378176800).

2811985672320 is an abundant number, since it is smaller than the sum of its proper divisors (7980770681280).

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

2811985672320 is a wasteful number, since it uses less digits than its factorization.

2811985672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837468 (or 837453 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2811985672320 in words is "two trillion, eight hundred eleven billion, nine hundred eighty-five million, six hundred seventy-two thousand, three hundred twenty".