2648907360 has 480 divisors, whose sum is σ = 10808072352. Its totient is φ = 603832320.

The previous prime is 2648907347. The next prime is 2648907361. The reversal of 2648907360 is 637098462.

2648907360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (2648907361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2422974 + ... + 2424066.

Almost surely, 2^2648907360 is an apocalyptic number.

2648907360 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 2648907360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404036176).

2648907360 is an abundant number, since it is smaller than the sum of its proper divisors (8159164992).

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

2648907360 is a wasteful number, since it uses less digits than its factorization.

2648907360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2648907360 is about 51467.5369529182. The cubic root of 2648907360 is about 1383.6372856391.

The spelling of 2648907360 in words is "two billion, six hundred forty-eight million, nine hundred seven thousand, three hundred sixty".