2918668542440 has 256 divisors, whose sum is σ = 7963858206720. Its totient is φ = 941071380480.

The previous prime is 2918668542397. The next prime is 2918668542469. The reversal of 2918668542440 is 442458668192.

2918668542440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2918668542440.

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, 167798384 + ... + 167815776.

It is an arithmetic number, because the mean of its divisors is an integer number (31108821120).

Almost surely, 2^{2918668542440} is an apocalyptic number.

2918668542440 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 2918668542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981929103360).

2918668542440 is an abundant number, since it is smaller than the sum of its proper divisors (5045189664280).

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

2918668542440 is a wasteful number, since it uses less digits than its factorization.

2918668542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17872 (or 17868 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 59.

The spelling of 2918668542440 in words is "two trillion, nine hundred eighteen billion, six hundred sixty-eight million, five hundred forty-two thousand, four hundred forty".