2602161408 has 288 divisors, whose sum is σ = 8759439360. Its totient is φ = 666132480.

The previous prime is 2602161403. The next prime is 2602161437. The reversal of 2602161408 is 8041612062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602161403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4671466 + ... + 4672022.

It is an arithmetic number, because the mean of its divisors is an integer number (30414720).

Almost surely, 2^2602161408 is an apocalyptic number.

2602161408 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 2602161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379719680).

2602161408 is an abundant number, since it is smaller than the sum of its proper divisors (6157277952).

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

2602161408 is a wasteful number, since it uses less digits than its factorization.

2602161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2602161408 is about 51011.3850821559. The cubic root of 2602161408 is about 1375.4497980555.

The spelling of 2602161408 in words is "two billion, six hundred two million, one hundred sixty-one thousand, four hundred eight".