2947828083200 has 1440 divisors, whose sum is σ = 10422424172160. Its totient is φ = 810683596800.

The previous prime is 2947828083157. The next prime is 2947828083229. The reversal of 2947828083200 is 23808287492.

It is a super-2 number, since 2×2947828083200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2062860086 + ... + 2062861514.

It is an arithmetic number, because the mean of its divisors is an integer number (7237794564).

Almost surely, 2^{2947828083200} is an apocalyptic number.

2947828083200 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 2947828083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211212086080).

2947828083200 is an abundant number, since it is smaller than the sum of its proper divisors (7474596088960).

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

2947828083200 is a wasteful number, since it uses less digits than its factorization.

2947828083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 2947828083200 in words is "two trillion, nine hundred forty-seven billion, eight hundred twenty-eight million, eighty-three thousand, two hundred".