2897575200 has 576 divisors, whose sum is σ = 11969233920. Its totient is φ = 670187520.

The previous prime is 2897575189. The next prime is 2897575207. The reversal of 2897575200 is 25757982.

It is a happy number.

2897575200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2897575207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4773297 + ... + 4773903.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^2897575200 is an apocalyptic number.

2897575200 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 2897575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

2897575200 is an abundant number, since it is smaller than the sum of its proper divisors (9071658720).

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

2897575200 is a wasteful number, since it uses less digits than its factorization.

2897575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 2897575200 is about 53829.1296604357. The cubic root of 2897575200 is about 1425.6455800593.

The spelling of 2897575200 in words is "two billion, eight hundred ninety-seven million, five hundred seventy-five thousand, two hundred".