2648640020 has 96 divisors (see below), whose sum is σ = 6188972832. Its totient is φ = 946003968.

The previous prime is 2648640017. The next prime is 2648640023. The reversal of 2648640020 is 200468462.

It is a happy number.

2648640020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2648640017) and next prime (2648640023).

It can be written as a sum of positive squares in 16 ways, for example, as 1086493444 + 1562146576 = 32962^2 + 39524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648640023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004624 + ... + 1007256.

It is an arithmetic number, because the mean of its divisors is an integer number (64468467).

Almost surely, 2^2648640020 is an apocalyptic number.

2648640020 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 2648640020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094486416).

2648640020 is an abundant number, since it is smaller than the sum of its proper divisors (3540332812).

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

2648640020 is a wasteful number, since it uses less digits than its factorization.

2648640020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2648640020 is about 51464.9397162767. The cubic root of 2648640020 is about 1383.5907363786.

The spelling of 2648640020 in words is "two billion, six hundred forty-eight million, six hundred forty thousand, twenty".