2791987200 has 432 divisors, whose sum is σ = 10258171560. Its totient is φ = 725483520.

The previous prime is 2791987199. The next prime is 2791987213. The reversal of 2791987200 is 27891972.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33638359 + ... + 33638441.

Almost surely, 2^2791987200 is an apocalyptic number.

2791987200 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 2791987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129085780).

2791987200 is an abundant number, since it is smaller than the sum of its proper divisors (7466184360).

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

2791987200 is a wasteful number, since it uses less digits than its factorization.

2791987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

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

The square root of 2791987200 is about 52839.2581325665. The cubic root of 2791987200 is about 1408.1139714905.

The spelling of 2791987200 in words is "two billion, seven hundred ninety-one million, nine hundred eighty-seven thousand, two hundred".