2654208648 has 640 divisors, whose sum is σ = 10147737600. Its totient is φ = 628176384.

The previous prime is 2654208643. The next prime is 2654208649. The reversal of 2654208648 is 8468024562.

2654208648 is a `hidden beast` number, since 26 + 542 + 0 + 86 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654208643) 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 159 ways as a sum of consecutive naturals, for example, 25768965 + ... + 25769067.

It is an arithmetic number, because the mean of its divisors is an integer number (15855840).

Almost surely, 2^2654208648 is an apocalyptic number.

2654208648 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 2654208648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073868800).

2654208648 is an abundant number, since it is smaller than the sum of its proper divisors (7493528952).

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

2654208648 is a wasteful number, since it uses less digits than its factorization.

2654208648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2654208648 is about 51519.0124905360. The cubic root of 2654208648 is about 1384.5597001709.

It can be divided in two parts, 2654208 and 648, that multiplied together give a square (1719926784 = 41472²).

The spelling of 2654208648 in words is "two billion, six hundred fifty-four million, two hundred eight thousand, six hundred forty-eight".