2900275200 has 312 divisors, whose sum is σ = 10664682000. Its totient is φ = 772669440.

The previous prime is 2900275127. The next prime is 2900275207. The reversal of 2900275200 is 25720092.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2900275207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2764276 + ... + 2765324.

Almost surely, 2^2900275200 is an apocalyptic number.

2900275200 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 2900275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332341000).

2900275200 is an abundant number, since it is smaller than the sum of its proper divisors (7764406800).

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

2900275200 is a wasteful number, since it uses less digits than its factorization.

2900275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2900275200 is about 53854.2031785821. The cubic root of 2900275200 is about 1426.0882545747.

Adding to 2900275200 its reverse (25720092), we get a palindrome (2925995292).

The spelling of 2900275200 in words is "two billion, nine hundred million, two hundred seventy-five thousand, two hundred".