2254204953 has 216 divisors, whose sum is σ = 4711843136. Its totient is φ = 1009895040.

The previous prime is 2254204933. The next prime is 2254204963. The reversal of 2254204953 is 3594024522.

2254204953 is a `hidden beast` number, since 22 + 542 + 0 + 4 + 95 + 3 = 666.

It is not a de Polignac number, because 2254204953 - 2⁵ = 2254204921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2254204903) 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 215 ways as a sum of consecutive naturals, for example, 52423350 + ... + 52423392.

Almost surely, 2^2254204953 is an apocalyptic number.

2254204953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2254204953 is an abundant number, since it is smaller than the sum of its proper divisors (2457638183).

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

2254204953 is a wasteful number, since it uses less digits than its factorization.

2254204953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2254204953 is about 47478.4683093294. The cubic root of 2254204953 is about 1311.1864923987.

The spelling of 2254204953 in words is "two billion, two hundred fifty-four million, two hundred four thousand, nine hundred fifty-three".