2970432000 has 480 divisors, whose sum is σ = 11153286144. Its totient is φ = 787968000.

The previous prime is 2970431999. The next prime is 2970432043. The reversal of 2970432000 is 2340792.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15551905 + ... + 15552095.

Almost surely, 2^2970432000 is an apocalyptic number.

2970432000 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 2970432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576643072).

2970432000 is an abundant number, since it is smaller than the sum of its proper divisors (8182854144).

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

2970432000 is an frugal number, since it uses more digits than its factorization.

2970432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2970432000 is about 54501.6696991936. The cubic root of 2970432000 is about 1437.4956471198.

Adding to 2970432000 its reverse (2340792), we get a palindrome (2972772792).

The spelling of 2970432000 in words is "two billion, nine hundred seventy million, four hundred thirty-two thousand".