2811965976 has 128 divisors (see below), whose sum is σ = 8278200000. Its totient is φ = 882846720.

The previous prime is 2811965929. The next prime is 2811965987. The reversal of 2811965976 is 6795691182.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251350 + ... + 262298.

Almost surely, 2^2811965976 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 2811965976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139100000).

2811965976 is an abundant number, since it is smaller than the sum of its proper divisors (5466234024).

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

2811965976 is a wasteful number, since it uses less digits than its factorization.

2811965976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 11024 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 2811965976 is about 53027.9735234150. The cubic root of 2811965976 is about 1411.4646979644.

The spelling of 2811965976 in words is "two billion, eight hundred eleven million, nine hundred sixty-five thousand, nine hundred seventy-six".