2830971306240 has 3024 divisors, whose sum is σ = 13417205897088. Its totient is φ = 555393024000.

The previous prime is 2830971306227. The next prime is 2830971306277. The reversal of 2830971306240 is 426031790382.

2830971306240 is a `hidden beast` number, since 2 + 8 + 3 + 0 + 9 + 7 + 13 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 69048080620 + ... + 69048080660.

It is an arithmetic number, because the mean of its divisors is an integer number (4436906712).

Almost surely, 2^{2830971306240} is an apocalyptic number.

2830971306240 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 2830971306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708602948544).

2830971306240 is an abundant number, since it is smaller than the sum of its proper divisors (10586234590848).

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

2830971306240 is an equidigital number, since it uses as much as digits as its factorization.

2830971306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2830971306240 in words is "two trillion, eight hundred thirty billion, nine hundred seventy-one million, three hundred six thousand, two hundred forty".