2648214540240 has 320 divisors, whose sum is σ = 8477335915776. Its totient is φ = 683532435456.

The previous prime is 2648214540229. The next prime is 2648214540247. The reversal of 2648214540240 is 420454128462.

It is a super-2 number, since 2×2648214540240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2648214540192 and 2648214540201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648214540247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989245782 + ... + 989248458.

Almost surely, 2^{2648214540240} is an apocalyptic number.

2648214540240 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 2648214540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238667957888).

2648214540240 is an abundant number, since it is smaller than the sum of its proper divisors (5829121375536).

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

2648214540240 is a wasteful number, since it uses less digits than its factorization.

2648214540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 42.

The spelling of 2648214540240 in words is "two trillion, six hundred forty-eight billion, two hundred fourteen million, five hundred forty thousand, two hundred forty".