2648262960 has 240 divisors, whose sum is σ = 10270967616. Its totient is φ = 598966272.

The previous prime is 2648262949. The next prime is 2648262961. The reversal of 2648262960 is 692628462.

2648262960 is a `hidden beast` number, since 26 + 482 + 62 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2648262961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486172 + ... + 491588.

Almost surely, 2^2648262960 is an apocalyptic number.

2648262960 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 2648262960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135483808).

2648262960 is an abundant number, since it is smaller than the sum of its proper divisors (7622704656).

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

2648262960 is a wasteful number, since it uses less digits than its factorization.

2648262960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2648262960 is about 51461.2763153033. The cubic root of 2648262960 is about 1383.5250773388.

The spelling of 2648262960 in words is "two billion, six hundred forty-eight million, two hundred sixty-two thousand, nine hundred sixty".