2972779866 has 96 divisors (see below), whose sum is σ = 7820362368. Its totient is φ = 828610560.

The previous prime is 2972779861. The next prime is 2972779871. The reversal of 2972779866 is 6689772792.

It is an interprime number because it is at equal distance from previous prime (2972779861) and next prime (2972779871).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2972779861) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 128826 + ... + 150138.

It is an arithmetic number, because the mean of its divisors is an integer number (81462108).

Almost surely, 2^2972779866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2972779866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910181184).

2972779866 is an abundant number, since it is smaller than the sum of its proper divisors (4847582502).

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

2972779866 is a wasteful number, since it uses less digits than its factorization.

2972779866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21366 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The square root of 2972779866 is about 54523.2048397744. The cubic root of 2972779866 is about 1437.8742854591.

The spelling of 2972779866 in words is "two billion, nine hundred seventy-two million, seven hundred seventy-nine thousand, eight hundred sixty-six".