2648334864 has 80 divisors (see below), whose sum is σ = 7830288512. Its totient is φ = 755564544.

The previous prime is 2648334863. The next prime is 2648334877. The reversal of 2648334864 is 4684338462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2648334863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240912 + ... + 251664.

Almost surely, 2^2648334864 is an apocalyptic number.

2648334864 is a gapful number since it is divisible by the number (24) 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 2648334864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915144256).

2648334864 is an abundant number, since it is smaller than the sum of its proper divisors (5181953648).

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

2648334864 is a wasteful number, since it uses less digits than its factorization.

2648334864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11504 (or 11498 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The square root of 2648334864 is about 51461.9749329541. The cubic root of 2648334864 is about 1383.5375987649.

The spelling of 2648334864 in words is "two billion, six hundred forty-eight million, three hundred thirty-four thousand, eight hundred sixty-four".