2971987200 has 1134 divisors, whose sum is σ = 13816741974. Its totient is φ = 627056640.

The previous prime is 2971987199. The next prime is 2971987211. The reversal of 2971987200 is 27891792.

It can be written as a sum of positive squares in 3 ways, for example, as 9144576 + 2962842624 = 3024^2 + 54432^2 .

It is a tau number, because it is divible by the number of its divisors (1134).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 228614394 + ... + 228614406.

Almost surely, 2^2971987200 is an apocalyptic number.

2971987200 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 2971987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908370987).

2971987200 is an abundant number, since it is smaller than the sum of its proper divisors (10844754774).

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

2971987200 is an equidigital number, since it uses as much as digits as its factorization.

2971987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 2971987200 is about 54515.9352850155. The cubic root of 2971987200 is about 1437.7464751910.

The spelling of 2971987200 in words is "two billion, nine hundred seventy-one million, nine hundred eighty-seven thousand, two hundred".