2978979840 has 168 divisors, whose sum is σ = 10327777668. Its totient is φ = 794296320.

The previous prime is 2978979827. The next prime is 2978979859. The reversal of 2978979840 is 489798792.

It can be written as a sum of positive squares in 2 ways, for example, as 2910818304 + 68161536 = 53952^2 + 8256^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 364600 + ... + 372680.

Almost surely, 2^2978979840 is an apocalyptic number.

2978979840 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 2978979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163888834).

2978979840 is an abundant number, since it is smaller than the sum of its proper divisors (7348797828).

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

2978979840 is an equidigital number, since it uses as much as digits as its factorization.

2978979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The square root of 2978979840 is about 54580.0315133658. The cubic root of 2978979840 is about 1438.8731925714.

The spelling of 2978979840 in words is "two billion, nine hundred seventy-eight million, nine hundred seventy-nine thousand, eight hundred forty".