2254134400 has 192 divisors, whose sum is σ = 6432266880. Its totient is φ = 764559360.

The previous prime is 2254134391. The next prime is 2254134409. The reversal of 2254134400 is 44314522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2254134391) and next prime (2254134409).

It is a super-2 number, since 2×2254134400² = 10162243786526720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2254134409) 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 23 ways as a sum of consecutive naturals, for example, 2306712 + ... + 2307688.

It is an arithmetic number, because the mean of its divisors is an integer number (33501390).

Almost surely, 2^2254134400 is an apocalyptic number.

2254134400 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 2254134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216133440).

2254134400 is an abundant number, since it is smaller than the sum of its proper divisors (4178132480).

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

2254134400 is a wasteful number, since it uses less digits than its factorization.

2254134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2254134400 is about 47477.7253035568. The cubic root of 2254134400 is about 1311.1728129112.

Adding to 2254134400 its reverse (44314522), we get a palindrome (2298448922).

The spelling of 2254134400 in words is "two billion, two hundred fifty-four million, one hundred thirty-four thousand, four hundred".