2973561984 has 192 divisors, whose sum is σ = 8761465440. Its totient is φ = 967815168.

The previous prime is 2973561977. The next prime is 2973562003. The reversal of 2973561984 is 4891653792.

2973561984 is a `hidden beast` number, since 2 + 9 + 73 + 561 + 9 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2973561984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13099279 + ... + 13099505.

Almost surely, 2^2973561984 is an apocalyptic number.

2973561984 is a gapful number since it is divisible by the number (24) 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 2973561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380732720).

2973561984 is an abundant number, since it is smaller than the sum of its proper divisors (5787903456).

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

2973561984 is a wasteful number, since it uses less digits than its factorization.

2973561984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 452 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 2973561984 is about 54530.3767087666. The cubic root of 2973561984 is about 1438.0003726908. Note that the first 3 decimals are identical.

It can be divided in two parts, 29735 and 61984, that added together give a palindrome (91719).

The spelling of 2973561984 in words is "two billion, nine hundred seventy-three million, five hundred sixty-one thousand, nine hundred eighty-four".