2976064000 has 480 divisors, whose sum is σ = 9423990576. Its totient is φ = 928972800.

The previous prime is 2976063973. The next prime is 2976064009. The reversal of 2976064000 is 4606792.

It can be written as a sum of positive squares in 8 ways, for example, as 1016064 + 2975047936 = 1008^2 + 54544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976064009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40767964 + ... + 40768036.

Almost surely, 2^2976064000 is an apocalyptic number.

2976064000 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 2976064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711995288).

2976064000 is an abundant number, since it is smaller than the sum of its proper divisors (6447926576).

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

2976064000 is an equidigital number, since it uses as much as digits as its factorization.

2976064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2976064000 is about 54553.3133732498. The cubic root of 2976064000 is about 1438.4035806185.

The spelling of 2976064000 in words is "two billion, nine hundred seventy-six million, sixty-four thousand".