2985350592 has 224 divisors, whose sum is σ = 9446686720. Its totient is φ = 814095360.

The previous prime is 2985350581. The next prime is 2985350593. The reversal of 2985350592 is 2950535892.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985350593) 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, 3291003 + ... + 3291909.

Almost surely, 2^2985350592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985350592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723343360).

2985350592 is an abundant number, since it is smaller than the sum of its proper divisors (6461336128).

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

2985350592 is a wasteful number, since it uses less digits than its factorization.

2985350592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 2985350592 is about 54638.3619080953. The cubic root of 2985350592 is about 1439.8981718118.

The spelling of 2985350592 in words is "two billion, nine hundred eighty-five million, three hundred fifty thousand, five hundred ninety-two".