2648706721920 has 2048 divisors, whose sum is σ = 12045194035200. Its totient is φ = 536043847680.

The previous prime is 2648706721909. The next prime is 2648706721939. The reversal of 2648706721920 is 291276078462.

2648706721920 is a `hidden beast` number, since 2 + 6 + 487 + 0 + 6 + 72 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2358598479 + ... + 2358599601.

It is an arithmetic number, because the mean of its divisors is an integer number (5881442400).

Almost surely, 2^{2648706721920} is an apocalyptic number.

2648706721920 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 2648706721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022597017600).

2648706721920 is an abundant number, since it is smaller than the sum of its proper divisors (9396487313280).

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

2648706721920 is a wasteful number, since it uses less digits than its factorization.

2648706721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2648706721920 in words is "two trillion, six hundred forty-eight billion, seven hundred six million, seven hundred twenty-one thousand, nine hundred twenty".