2978976000 has 1152 divisors, whose sum is σ = 13713702912. Its totient is φ = 552960000.

The previous prime is 2978975999. The next prime is 2978976017. The reversal of 2978976000 is 6798792.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96095985 + ... + 96096015.

It is an arithmetic number, because the mean of its divisors is an integer number (11904256).

Almost surely, 2^2978976000 is an apocalyptic number.

2978976000 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 2978976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856851456).

2978976000 is an abundant number, since it is smaller than the sum of its proper divisors (10734726912).

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

2978976000 is a wasteful number, since it uses less digits than its factorization.

2978976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 2978976000 is about 54579.9963356540. The cubic root of 2978976000 is about 1438.8725743200.

The spelling of 2978976000 in words is "two billion, nine hundred seventy-eight million, nine hundred seventy-six thousand".