2608962048 has 800 divisors, whose sum is σ = 10457187840. Its totient is φ = 627056640.

The previous prime is 2608962043. The next prime is 2608962049. The reversal of 2608962048 is 8402698062.

It is a junction number, because it is equal to n+sod(n) for n = 2608961994 and 2608962012.

It is not an unprimeable number, because it can be changed into a prime (2608962043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60673515 + ... + 60673557.

Almost surely, 2^2608962048 is an apocalyptic number.

2608962048 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 2608962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228593920).

2608962048 is an abundant number, since it is smaller than the sum of its proper divisors (7848225792).

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

2608962048 is a wasteful number, since it uses less digits than its factorization.

2608962048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2608962048 is about 51077.9996475978. Note that the first 3 decimals coincide. The cubic root of 2608962048 is about 1376.6469825688.

The spelling of 2608962048 in words is "two billion, six hundred eight million, nine hundred sixty-two thousand, forty-eight".