2671762426560 has 336 divisors, whose sum is σ = 9956617441056. Its totient is φ = 654965047296.

The previous prime is 2671762426547. The next prime is 2671762426579. The reversal of 2671762426560 is 656242671762.

2671762426560 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 7 + 624 + 2 + 6 + 5 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2671762426497 and 2671762426506.

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, 1470742 + ... + 2739818.

Almost surely, 2^{2671762426560} is an apocalyptic number.

2671762426560 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 2671762426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978308720528).

2671762426560 is an abundant number, since it is smaller than the sum of its proper divisors (7284855014496).

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

2671762426560 is a wasteful number, since it uses less digits than its factorization.

2671762426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269160 (or 1269147 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 2671762426560 in words is "two trillion, six hundred seventy-one billion, seven hundred sixty-two million, four hundred twenty-six thousand, five hundred sixty".