3002061440 has 192 divisors, whose sum is σ = 8639022600. Its totient is φ = 993484800.

The previous prime is 3002061401. The next prime is 3002061463. The reversal of 3002061440 is 441602003.

It is a happy number.

3002061440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2022121024 + 979940416 = 44968^2 + 31304^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907790 + ... + 911090.

Almost surely, 2^3002061440 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 3002061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319511300).

3002061440 is an abundant number, since it is smaller than the sum of its proper divisors (5636961160).

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

3002061440 is a wasteful number, since it uses less digits than its factorization.

3002061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3002061440 is about 54791.0708053785. The cubic root of 3002061440 is about 1442.5798403326.

Adding to 3002061440 its reverse (441602003), we get a palindrome (3443663443).

The spelling of 3002061440 in words is "three billion, two million, sixty-one thousand, four hundred forty".