2947090132224 has 1296 divisors, whose sum is σ = 10741135362048. Its totient is φ = 772013555712.

The previous prime is 2947090132193. The next prime is 2947090132237. The reversal of 2947090132224 is 4222310907492.

2947090132224 is a `hidden beast` number, since 29 + 470 + 9 + 0 + 132 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2947090132224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23205434049 + ... + 23205434175.

It is an arithmetic number, because the mean of its divisors is an integer number (8287913088).

Almost surely, 2^{2947090132224} is an apocalyptic number.

2947090132224 is a gapful number since it is divisible by the number (24) 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 2947090132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370567681024).

2947090132224 is an abundant number, since it is smaller than the sum of its proper divisors (7794045229824).

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

2947090132224 is a wasteful number, since it uses less digits than its factorization.

2947090132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 376 counting only the distinct ones).

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

The spelling of 2947090132224 in words is "two trillion, nine hundred forty-seven billion, ninety million, one hundred thirty-two thousand, two hundred twenty-four".