2985297707520 has 640 divisors, whose sum is σ = 10828139097600. Its totient is φ = 779323244544.

The previous prime is 2985297707503. The next prime is 2985297707531. The reversal of 2985297707520 is 257077925892.

2985297707520 is a `hidden beast` number, since 2 + 9 + 85 + 29 + 7 + 7 + 0 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3036924949 + ... + 3036925931.

It is an arithmetic number, because the mean of its divisors is an integer number (16918967340).

Almost surely, 2^{2985297707520} is an apocalyptic number.

2985297707520 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 2985297707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414069548800).

2985297707520 is an abundant number, since it is smaller than the sum of its proper divisors (7842841390080).

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

2985297707520 is an equidigital number, since it uses as much as digits as its factorization.

2985297707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 2985297707520 in words is "two trillion, nine hundred eighty-five billion, two hundred ninety-seven million, seven hundred seven thousand, five hundred twenty".