2985625344 has 144 divisors (see below), whose sum is σ = 9008316800. Its totient is φ = 870248448.

The previous prime is 2985625337. The next prime is 2985625361. The reversal of 2985625344 is 4435265892.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2985625293 and 2985625302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181827 + ... + 197565.

Almost surely, 2^2985625344 is an apocalyptic number.

2985625344 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 2985625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504158400).

2985625344 is an abundant number, since it is smaller than the sum of its proper divisors (6022691456).

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

2985625344 is a wasteful number, since it uses less digits than its factorization.

2985625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15776 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 2985625344 is about 54640.8761276757. The cubic root of 2985625344 is about 1439.9423433705.

The spelling of 2985625344 in words is "two billion, nine hundred eighty-five million, six hundred twenty-five thousand, three hundred forty-four".