2627971426080 has 2880 divisors, whose sum is σ = 12988945081728. Its totient is φ = 491612405760.

The previous prime is 2627971426049. The next prime is 2627971426081. The reversal of 2627971426080 is 806241797262.

2627971426080 is a `hidden beast` number, since 2 + 6 + 2 + 79 + 71 + 426 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2627971426081) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3904860624 + ... + 3904861296.

Almost surely, 2^{2627971426080} is an apocalyptic number.

2627971426080 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 2627971426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494472540864).

2627971426080 is an abundant number, since it is smaller than the sum of its proper divisors (10360973655648).

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

2627971426080 is a wasteful number, since it uses less digits than its factorization.

2627971426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2627971426080 in words is "two trillion, six hundred twenty-seven billion, nine hundred seventy-one million, four hundred twenty-six thousand, eighty".