2973536640 has 192 divisors, whose sum is σ = 10872351360. Its totient is φ = 746274816.

The previous prime is 2973536633. The next prime is 2973536653. The reversal of 2973536640 is 466353792.

2973536640 is a `hidden beast` number, since 2 + 9 + 73 + 536 + 6 + 40 = 666.

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 (45).

It is a congruent number.

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, 82737 + ... + 113103.

It is an arithmetic number, because the mean of its divisors is an integer number (56626830).

Almost surely, 2^2973536640 is an apocalyptic number.

2973536640 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 2973536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436175680).

2973536640 is an abundant number, since it is smaller than the sum of its proper divisors (7898814720).

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

2973536640 is a wasteful number, since it uses less digits than its factorization.

2973536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30409 (or 30394 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 2973536640 is about 54530.1443240342. The cubic root of 2973536640 is about 1437.9962872668.

The spelling of 2973536640 in words is "two billion, nine hundred seventy-three million, five hundred thirty-six thousand, six hundred forty".