2825264900 has 36 divisors (see below), whose sum is σ = 6280366260. Its totient is φ = 1102540800.

The previous prime is 2825264881. The next prime is 2825264917. The reversal of 2825264900 is 94625282.

It can be written as a sum of positive squares in 6 ways, for example, as 56821444 + 2768443456 = 7538^2 + 52616^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 340445 + ... + 348644.

Almost surely, 2^2825264900 is an apocalyptic number.

2825264900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825264900 is an abundant number, since it is smaller than the sum of its proper divisors (3455101360).

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

2825264900 is a wasteful number, since it uses less digits than its factorization.

2825264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689144 (or 689137 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2825264900 is about 53153.2209748384. The cubic root of 2825264900 is about 1413.6863283813.

The spelling of 2825264900 in words is "two billion, eight hundred twenty-five million, two hundred sixty-four thousand, nine hundred".