2681247286080 has 672 divisors, whose sum is σ = 10849048761600. Its totient is φ = 621732925440.

The previous prime is 2681247286037. The next prime is 2681247286097. The reversal of 2681247286080 is 806827421862.

2681247286080 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 2 + 4 + 7 + 28 + 608 + 0 = 666.

It is a super-2 number, since 2×2681247286080² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23989366 + ... + 24100874.

It is an arithmetic number, because the mean of its divisors is an integer number (16144417800).

Almost surely, 2^{2681247286080} is an apocalyptic number.

2681247286080 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 2681247286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424524380800).

2681247286080 is an abundant number, since it is smaller than the sum of its proper divisors (8167801475520).

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

2681247286080 is a wasteful number, since it uses less digits than its factorization.

2681247286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111580 (or 111553 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2681247286080 in words is "two trillion, six hundred eighty-one billion, two hundred forty-seven million, two hundred eighty-six thousand, eighty".