2254032144 has 240 divisors, whose sum is σ = 8106147840. Its totient is φ = 594397440.

The previous prime is 2254032133. The next prime is 2254032181. The reversal of 2254032144 is 4412304522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 271089 + ... + 279279.

It is an arithmetic number, because the mean of its divisors is an integer number (33775616).

Almost surely, 2^2254032144 is an apocalyptic number.

2254032144 is a gapful number since it is divisible by the number (24) 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 2254032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053073920).

2254032144 is an abundant number, since it is smaller than the sum of its proper divisors (5852115696).

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

2254032144 is a wasteful number, since it uses less digits than its factorization.

2254032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2254032144 is about 47476.6484074013. The cubic root of 2254032144 is about 1311.1529860374.

Adding to 2254032144 its reverse (4412304522), we get a palindrome (6666336666).

The spelling of 2254032144 in words is "two billion, two hundred fifty-four million, thirty-two thousand, one hundred forty-four".