2947491348480 has 2400 divisors, whose sum is σ = 13154278072320. Its totient is φ = 616625602560.

The previous prime is 2947491348479. The next prime is 2947491348481. The reversal of 2947491348480 is 848431947492.

2947491348480 is a `hidden beast` number, since 2 + 9 + 4 + 74 + 9 + 1 + 3 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2947491348479) and next prime (2947491348481).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2947491348481) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 33117880276 + ... + 33117880364.

Almost surely, 2^{2947491348480} is an apocalyptic number.

2947491348480 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 2947491348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577139036160).

2947491348480 is an abundant number, since it is smaller than the sum of its proper divisors (10206786723840).

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

2947491348480 is an equidigital number, since it uses as much as digits as its factorization.

2947491348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2947491348480 in words is "two trillion, nine hundred forty-seven billion, four hundred ninety-one million, three hundred forty-eight thousand, four hundred eighty".