2648301480 has 768 divisors, whose sum is σ = 10868981760. Its totient is φ = 572313600.

The previous prime is 2648301457. The next prime is 2648301493. The reversal of 2648301480 is 841038462.

2648301480 is a `hidden beast` number, since 2 + 648 + 3 + 0 + 1 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56346817 + ... + 56346863.

It is an arithmetic number, because the mean of its divisors is an integer number (14152320).

Almost surely, 2^2648301480 is an apocalyptic number.

2648301480 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 2648301480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434490880).

2648301480 is an abundant number, since it is smaller than the sum of its proper divisors (8220680280).

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

2648301480 is a wasteful number, since it uses less digits than its factorization.

2648301480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2648301480 is about 51461.6505759386. The cubic root of 2648301480 is about 1383.5317852738.

The spelling of 2648301480 in words is "two billion, six hundred forty-eight million, three hundred one thousand, four hundred eighty".