2648467640 has 256 divisors, whose sum is σ = 7741440000. Its totient is φ = 809464320.

The previous prime is 2648467559. The next prime is 2648467643. The reversal of 2648467640 is 467648462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648467643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5528921 + ... + 5529399.

It is an arithmetic number, because the mean of its divisors is an integer number (30240000).

Almost surely, 2^2648467640 is an apocalyptic number.

2648467640 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 2648467640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720000).

2648467640 is an abundant number, since it is smaller than the sum of its proper divisors (5092972360).

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

2648467640 is a wasteful number, since it uses less digits than its factorization.

2648467640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The square root of 2648467640 is about 51463.2649566659. The cubic root of 2648467640 is about 1383.5607198992.

The spelling of 2648467640 in words is "two billion, six hundred forty-eight million, four hundred sixty-seven thousand, six hundred forty".