2947664000 has 128 divisors (see below), whose sum is σ = 7760441520. Its totient is φ = 1109606400.

The previous prime is 2947663997. The next prime is 2947664003. The reversal of 2947664000 is 4667492.

It is an interprime number because it is at equal distance from previous prime (2947663997) and next prime (2947664003).

It can be written as a sum of positive squares in 8 ways, for example, as 89264704 + 2858399296 = 9448^2 + 53464^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2947664003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266582 + ... + 277418.

Almost surely, 2^2947664000 is an apocalyptic number.

2947664000 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 2947664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880220760).

2947664000 is an abundant number, since it is smaller than the sum of its proper divisors (4812777520).

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

2947664000 is a wasteful number, since it uses less digits than its factorization.

2947664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 2947664000 is about 54292.3935740542. The cubic root of 2947664000 is about 1433.8134801467.

The spelling of 2947664000 in words is "two billion, nine hundred forty-seven million, six hundred sixty-four thousand".