2648741267016 has 128 divisors (see below), whose sum is σ = 7926534806400. Its totient is φ = 814693904640.

The previous prime is 2648741266981. The next prime is 2648741267063. The reversal of 2648741267016 is 6107621478462.

2648741267016 is a `hidden beast` number, since 26 + 487 + 4 + 126 + 7 + 0 + 16 = 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 31 ways as a sum of consecutive naturals, for example, 7427026 + ... + 7775486.

It is an arithmetic number, because the mean of its divisors is an integer number (61926053175).

Almost surely, 2^{2648741267016} is an apocalyptic number.

2648741267016 is a gapful number since it is divisible by the number (26) 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 2648741267016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963267403200).

2648741267016 is an abundant number, since it is smaller than the sum of its proper divisors (5277793539384).

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

2648741267016 is a wasteful number, since it uses less digits than its factorization.

2648741267016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351196 (or 351186 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2648741267016 in words is "two trillion, six hundred forty-eight billion, seven hundred forty-one million, two hundred sixty-seven thousand, sixteen".