2810979072 has 216 divisors, whose sum is σ = 9139664240. Its totient is φ = 851558400.

The previous prime is 2810979049. The next prime is 2810979079. The reversal of 2810979072 is 2709790182.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (2810979079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834672 + ... + 838032.

Almost surely, 2^2810979072 is an apocalyptic number.

2810979072 is a gapful number since it is divisible by the number (22) 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 2810979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569832120).

2810979072 is an abundant number, since it is smaller than the sum of its proper divisors (6328685168).

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

2810979072 is a wasteful number, since it uses less digits than its factorization.

2810979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2810979072 is about 53018.6672031653. The cubic root of 2810979072 is about 1411.2995533452.

The spelling of 2810979072 in words is "two billion, eight hundred ten million, nine hundred seventy-nine thousand, seventy-two".