2973272000 has 224 divisors, whose sum is σ = 8013557760. Its totient is φ = 1088640000.

The previous prime is 2973271997. The next prime is 2973272017. The reversal of 2973272000 is 2723792.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4711685 + ... + 4712315.

Almost surely, 2^2973272000 is an apocalyptic number.

2973272000 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 2973272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006778880).

2973272000 is an abundant number, since it is smaller than the sum of its proper divisors (5040285760).

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

2973272000 is a wasteful number, since it uses less digits than its factorization.

2973272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 2973272000 is about 54527.7177222741. The cubic root of 2973272000 is about 1437.9536262121.

Adding to 2973272000 its reverse (2723792), we get a palindrome (2975995792).

The spelling of 2973272000 in words is "two billion, nine hundred seventy-three million, two hundred seventy-two thousand".