2648655360 has 480 divisors, whose sum is σ = 10188097920. Its totient is φ = 631701504.

The previous prime is 2648655329. The next prime is 2648655377. The reversal of 2648655360 is 635568462.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082121 + ... + 11082359.

It is an arithmetic number, because the mean of its divisors is an integer number (21225204).

It is a vampire number, since it can be written as 46605 ⋅ 56832 (with its own digits).

Almost surely, 2^2648655360 is an apocalyptic number.

2648655360 is a gapful number since it is divisible by the number (20) 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 2648655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094048960).

2648655360 is an abundant number, since it is smaller than the sum of its proper divisors (7539442560).

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

2648655360 is a wasteful number, since it uses less digits than its factorization.

2648655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2648655360 is about 51465.0887495592. The cubic root of 2648655360 is about 1383.5934074652.

The spelling of 2648655360 in words is "two billion, six hundred forty-eight million, six hundred fifty-five thousand, three hundred sixty".