2811995136 has 352 divisors, whose sum is σ = 9019900800. Its totient is φ = 862617600.

The previous prime is 2811995093. The next prime is 2811995149. The reversal of 2811995136 is 6315991182.

It is a junction number, because it is equal to n+sod(n) for n = 2811995091 and 2811995100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27841486 + ... + 27841586.

Almost surely, 2^2811995136 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 2811995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509950400).

2811995136 is an abundant number, since it is smaller than the sum of its proper divisors (6207905664).

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

2811995136 is a wasteful number, since it uses less digits than its factorization.

2811995136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 2811995136 is about 53028.2484719230. The cubic root of 2811995136 is about 1411.4695768959.

The spelling of 2811995136 in words is "two billion, eight hundred eleven million, nine hundred ninety-five thousand, one hundred thirty-six".