2760801998080 has 432 divisors, whose sum is σ = 8109068647680. Its totient is φ = 895464751104.

The previous prime is 2760801998077. The next prime is 2760801998083. The reversal of 2760801998080 is 808991080672.

It is an interprime number because it is at equal distance from previous prime (2760801998077) and next prime (2760801998083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2760801998083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1207170697 + ... + 1207172983.

It is an arithmetic number, because the mean of its divisors is an integer number (18770992240).

Almost surely, 2^{2760801998080} is an apocalyptic number.

2760801998080 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 2760801998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054534323840).

2760801998080 is an abundant number, since it is smaller than the sum of its proper divisors (5348266649600).

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

2760801998080 is a wasteful number, since it uses less digits than its factorization.

2760801998080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 2760801998080 in words is "two trillion, seven hundred sixty billion, eight hundred one million, nine hundred ninety-eight thousand, eighty".