2947072128 has 768 divisors, whose sum is σ = 11486603520. Its totient is φ = 648806400.

The previous prime is 2947072109. The next prime is 2947072187. The reversal of 2947072128 is 8212707492.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2947072128.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71879788 + ... + 71879828.

It is an arithmetic number, because the mean of its divisors is an integer number (14956515).

Almost surely, 2^2947072128 is an apocalyptic number.

2947072128 is a gapful number since it is divisible by the number (28) 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 2947072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743301760).

2947072128 is an abundant number, since it is smaller than the sum of its proper divisors (8539531392).

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

2947072128 is a wasteful number, since it uses less digits than its factorization.

2947072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2947072128 is about 54286.9425184362. The cubic root of 2947072128 is about 1433.7175068767.

It can be divided in two parts, 294707 and 2128, that added together give a triangular number (296835 = T₇₇₀).

The spelling of 2947072128 in words is "two billion, nine hundred forty-seven million, seventy-two thousand, one hundred twenty-eight".