2781618954240 has 336 divisors, whose sum is σ = 10353825065232. Its totient is φ = 635797241856.

The previous prime is 2781618954181. The next prime is 2781618954251. The reversal of 2781618954240 is 424598161872.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5790132 + ... + 6252108.

Almost surely, 2^{2781618954240} is an apocalyptic number.

2781618954240 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 2781618954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176912532616).

2781618954240 is an abundant number, since it is smaller than the sum of its proper divisors (7572206110992).

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

2781618954240 is an equidigital number, since it uses as much as digits as its factorization.

2781618954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462025 (or 461994 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 2781618954240 in words is "two trillion, seven hundred eighty-one billion, six hundred eighteen million, nine hundred fifty-four thousand, two hundred forty".