2681077156320 has 576 divisors, whose sum is σ = 9255611727936. Its totient is φ = 649876930560.

The previous prime is 2681077156193. The next prime is 2681077156333. The reversal of 2681077156320 is 236517701862.

It is a super-3 number, since 3×2681077156320³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2681077156320.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1941402030 + ... + 1941403410.

It is an arithmetic number, because the mean of its divisors is an integer number (16068770361).

Almost surely, 2^{2681077156320} is an apocalyptic number.

2681077156320 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 2681077156320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627805863968).

2681077156320 is an abundant number, since it is smaller than the sum of its proper divisors (6574534571616).

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

2681077156320 is a wasteful number, since it uses less digits than its factorization.

2681077156320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 2681077156320 in words is "two trillion, six hundred eighty-one billion, seventy-seven million, one hundred fifty-six thousand, three hundred twenty".