2940305760 has 288 divisors, whose sum is σ = 11703182400. Its totient is φ = 671956992.

The previous prime is 2940305749. The next prime is 2940305773. The reversal of 2940305760 is 675030492.

2940305760 is a `hidden beast` number, since 294 + 0 + 305 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×2940305760³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490944 + ... + 496896.

It is an arithmetic number, because the mean of its divisors is an integer number (40636050).

Almost surely, 2^2940305760 is an apocalyptic number.

2940305760 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 2940305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851591200).

2940305760 is an abundant number, since it is smaller than the sum of its proper divisors (8762876640).

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

2940305760 is a wasteful number, since it uses less digits than its factorization.

2940305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5970 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2940305760 is about 54224.5863054759. The cubic root of 2940305760 is about 1432.6194120279.

The spelling of 2940305760 in words is "two billion, nine hundred forty million, three hundred five thousand, seven hundred sixty".