2955947760 has 480 divisors, whose sum is σ = 11074594752. Its totient is φ = 703365120.

The previous prime is 2955947759. The next prime is 2955947773. The reversal of 2955947760 is 677495592.

2955947760 is a `hidden beast` number, since 29 + 559 + 4 + 7 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2955947697 and 2955947706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27625627 + ... + 27625733.

Almost surely, 2^2955947760 is an apocalyptic number.

2955947760 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 2955947760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537297376).

2955947760 is an abundant number, since it is smaller than the sum of its proper divisors (8118646992).

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

2955947760 is a wasteful number, since it uses less digits than its factorization.

2955947760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 2955947760 is about 54368.6284542842. The cubic root of 2955947760 is about 1435.1553628321.

The spelling of 2955947760 in words is "two billion, nine hundred fifty-five million, nine hundred forty-seven thousand, seven hundred sixty".