2262915200 has 384 divisors, whose sum is σ = 7259952000. Its totient is φ = 676823040.

The previous prime is 2262915197. The next prime is 2262915209. The reversal of 2262915200 is 25192622.

It is not an unprimeable number, because it can be changed into a prime (2262915209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5532596 + ... + 5533004.

It is an arithmetic number, because the mean of its divisors is an integer number (18906125).

Almost surely, 2^2262915200 is an apocalyptic number.

2262915200 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 2262915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629976000).

2262915200 is an abundant number, since it is smaller than the sum of its proper divisors (4997036800).

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

2262915200 is a wasteful number, since it uses less digits than its factorization.

2262915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2262915200 is about 47570.1082613862. The cubic root of 2262915200 is about 1312.8731298919.

The spelling of 2262915200 in words is "two billion, two hundred sixty-two million, nine hundred fifteen thousand, two hundred".