2262904900 has 81 divisors (see below), whose sum is σ = 5056087197. Its totient is φ = 879093600.

The previous prime is 2262904859. The next prime is 2262904909. The reversal of 2262904900 is 94092622.

It is a happy number.

The square root of 2262904900 is 47570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 814645764 + 1448259136 = 28542^2 + 38056^2 .

It is a super-3 number, since 3×2262904900³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2262904909) 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 26 ways as a sum of consecutive naturals, for example, 31871865 + ... + 31871935.

Almost surely, 2^2262904900 is an apocalyptic number.

2262904900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2262904900 is the 47570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2262904900

2262904900 is an abundant number, since it is smaller than the sum of its proper divisors (2793182297).

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

2262904900 is an equidigital number, since it uses as much as digits as its factorization.

2262904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 2262904900 is about 1312.8711379755.

The spelling of 2262904900 in words is "two billion, two hundred sixty-two million, nine hundred four thousand, nine hundred".