2656887708240 has 240 divisors, whose sum is σ = 9422840149632. Its totient is φ = 669533500416.

The previous prime is 2656887708239. The next prime is 2656887708247. The reversal of 2656887708240 is 428077886562.

2656887708240 is a `hidden beast` number, since 26 + 568 + 8 + 7 + 7 + 0 + 8 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656887708247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407974 + ... + 2340986.

Almost surely, 2^{2656887708240} is an apocalyptic number.

2656887708240 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 2656887708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711420074816).

2656887708240 is an abundant number, since it is smaller than the sum of its proper divisors (6765952441392).

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

2656887708240 is a wasteful number, since it uses less digits than its factorization.

2656887708240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933138 (or 1933129 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 2656887708240 in words is "two trillion, six hundred fifty-six billion, eight hundred eighty-seven million, seven hundred eight thousand, two hundred forty".