2955538679040 has 360 divisors, whose sum is σ = 10579778748000. Its totient is φ = 787821686784.

The previous prime is 2955538679017. The next prime is 2955538679057. The reversal of 2955538679040 is 409768355592.

2955538679040 is a `hidden beast` number, since 2 + 9 + 5 + 5 + 538 + 6 + 7 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362772247 + ... + 362780393.

It is an arithmetic number, because the mean of its divisors is an integer number (29388274300).

Almost surely, 2^{2955538679040} is an apocalyptic number.

2955538679040 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 2955538679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289889374000).

2955538679040 is an abundant number, since it is smaller than the sum of its proper divisors (7624240068960).

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

2955538679040 is an equidigital number, since it uses as much as digits as its factorization.

2955538679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11679 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 2955538679040 in words is "two trillion, nine hundred fifty-five billion, five hundred thirty-eight million, six hundred seventy-nine thousand, forty".