2976000000 has 336 divisors, whose sum is σ = 10237368960. Its totient is φ = 768000000.

The previous prime is 2975999989. The next prime is 2976000101. The reversal of 2976000000 is 6792.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 95999985 + ... + 96000015.

It is an arithmetic number, because the mean of its divisors is an integer number (30468360).

Almost surely, 2^2976000000 is an apocalyptic number.

2976000000 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 2976000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118684480).

2976000000 is an abundant number, since it is smaller than the sum of its proper divisors (7261368960).

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

2976000000 is an frugal number, since it uses more digits than its factorization.

2976000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2976000000 is about 54552.7267879434. The cubic root of 2976000000 is about 1438.3932696296.

Adding to 2976000000 its reverse (6792), we get a palindrome (2976006792).

The spelling of 2976000000 in words is "two billion, nine hundred seventy-six million", and thus it is an aban number.