2973242957520 has 640 divisors, whose sum is σ = 10907502446592. Its totient is φ = 661944729600.

The previous prime is 2973242957513. The next prime is 2973242957563. The reversal of 2973242957520 is 257592423792.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321740100 + ... + 321749340.

Almost surely, 2^{2973242957520} is an apocalyptic number.

2973242957520 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 2973242957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453751223296).

2973242957520 is an abundant number, since it is smaller than the sum of its proper divisors (7934259489072).

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

2973242957520 is a wasteful number, since it uses less digits than its factorization.

2973242957520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 2973242957520 in words is "two trillion, nine hundred seventy-three billion, two hundred forty-two million, nine hundred fifty-seven thousand, five hundred twenty".