2688971313420 has 432 divisors, whose sum is σ = 9613321885440. Its totient is φ = 606535679232.

The previous prime is 2688971313409. The next prime is 2688971313437. The reversal of 2688971313420 is 243131798862.

It is a happy number.

2688971313420 is a `hidden beast` number, since 2 + 6 + 8 + 89 + 7 + 131 + 3 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 953872771 + ... + 953875589.

It is an arithmetic number, because the mean of its divisors is an integer number (22253059920).

Almost surely, 2^{2688971313420} is an apocalyptic number.

2688971313420 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 2688971313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806660942720).

2688971313420 is an abundant number, since it is smaller than the sum of its proper divisors (6924350572020).

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

2688971313420 is a wasteful number, since it uses less digits than its factorization.

2688971313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2688971313420 in words is "two trillion, six hundred eighty-eight billion, nine hundred seventy-one million, three hundred thirteen thousand, four hundred twenty".