2985147648 has 288 divisors, whose sum is σ = 10203648000. Its totient is φ = 843208704.

The previous prime is 2985147629. The next prime is 2985147701. The reversal of 2985147648 is 8467415892.

It is a happy number.

2985147648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2985147648² = 17822212960719863808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2985147594 and 2985147603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4983253 + ... + 4983851.

Almost surely, 2^2985147648 is an apocalyptic number.

2985147648 is a gapful number since it is divisible by the number (28) 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 2985147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101824000).

2985147648 is an abundant number, since it is smaller than the sum of its proper divisors (7218500352).

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

2985147648 is a wasteful number, since it uses less digits than its factorization.

2985147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 714 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2985147648 is about 54636.5047198299. The cubic root of 2985147648 is about 1439.8655430013.

The spelling of 2985147648 in words is "two billion, nine hundred eighty-five million, one hundred forty-seven thousand, six hundred forty-eight".