2985237504 has 352 divisors, whose sum is σ = 9453537280. Its totient is φ = 940584960.

The previous prime is 2985237491. The next prime is 2985237509. The reversal of 2985237504 is 4057325892.

2985237504 is a `hidden beast` number, since 2 + 98 + 52 + 3 + 7 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2985237504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985237509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69424107 + ... + 69424149.

It is an arithmetic number, because the mean of its divisors is an integer number (26856640).

Almost surely, 2^2985237504 is an apocalyptic number.

2985237504 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 2985237504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726768640).

2985237504 is an abundant number, since it is smaller than the sum of its proper divisors (6468299776).

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

2985237504 is an frugal number, since it uses more digits than its factorization.

2985237504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2985237504 is about 54637.3270210028. The cubic root of 2985237504 is about 1439.8799899986.

The spelling of 2985237504 in words is "two billion, nine hundred eighty-five million, two hundred thirty-seven thousand, five hundred four".