2254120253 has 48 divisors (see below), whose sum is σ = 3079948032. Its totient is φ = 1608076800.

The previous prime is 2254120247. The next prime is 2254120259. The reversal of 2254120253 is 3520214522.

2254120253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2254120247) and next prime (2254120259).

It is not a de Polignac number, because 2254120253 - 2⁴ = 2254120237 is a prime.

It is a super-2 number, since 2×2254120253² = 10162116229969568018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254120259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530648 + ... + 534878.

It is an arithmetic number, because the mean of its divisors is an integer number (64165584).

Almost surely, 2^2254120253 is an apocalyptic number.

It is an amenable number.

2254120253 is a deficient number, since it is larger than the sum of its proper divisors (825827779).

2254120253 is a wasteful number, since it uses less digits than its factorization.

2254120253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2254120253 is about 47477.5763176681. The cubic root of 2254120253 is about 1311.1700699217.

Adding to 2254120253 its reverse (3520214522), we get a palindrome (5774334775).

The spelling of 2254120253 in words is "two billion, two hundred fifty-four million, one hundred twenty thousand, two hundred fifty-three".