2978064000 has 192 divisors, whose sum is σ = 10695489480. Its totient is φ = 794112000.

The previous prime is 2978063983. The next prime is 2978064049. The reversal of 2978064000 is 4608792.

2978064000 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 0 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317980224 + 2660083776 = 17832^2 + 51576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 133660 + ... + 154340.

Almost surely, 2^2978064000 is an apocalyptic number.

2978064000 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 2978064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347744740).

2978064000 is an abundant number, since it is smaller than the sum of its proper divisors (7717425480).

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

2978064000 is a wasteful number, since it uses less digits than its factorization.

2978064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20716 (or 20691 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2978064000 is about 54571.6409868716. The cubic root of 2978064000 is about 1438.7257245609.

The spelling of 2978064000 in words is "two billion, nine hundred seventy-eight million, sixty-four thousand".