2648567956320 has 288 divisors, whose sum is σ = 10618350541344. Its totient is φ = 592686489600.

The previous prime is 2648567956303. The next prime is 2648567956337. The reversal of 2648567956320 is 236597658462.

2648567956320 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 5 + 67 + 9 + 563 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2648567956303) and next prime (2648567956337).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6225141 + ... + 6636980.

It is an arithmetic number, because the mean of its divisors is an integer number (36869272713).

Almost surely, 2^{2648567956320} is an apocalyptic number.

2648567956320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2648567956320 is an abundant number, since it is smaller than the sum of its proper divisors (7969782585024).

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

2648567956320 is a wasteful number, since it uses less digits than its factorization.

2648567956320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12862166 (or 12862155 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 2648567956320 in words is "two trillion, six hundred forty-eight billion, five hundred sixty-seven million, nine hundred fifty-six thousand, three hundred twenty".