2761768228440 has 256 divisors, whose sum is σ = 9090332697600. Its totient is φ = 667120379904.

The previous prime is 2761768228397. The next prime is 2761768228459. The reversal of 2761768228440 is 448228671672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27438526 + ... + 27538994.

It is an arithmetic number, because the mean of its divisors is an integer number (35509112100).

Almost surely, 2^{2761768228440} is an apocalyptic number.

2761768228440 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 2761768228440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545166348800).

2761768228440 is an abundant number, since it is smaller than the sum of its proper divisors (6328564469160).

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

2761768228440 is a wasteful number, since it uses less digits than its factorization.

2761768228440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100826 (or 100822 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 2761768228440 in words is "two trillion, seven hundred sixty-one billion, seven hundred sixty-eight million, two hundred twenty-eight thousand, four hundred forty".