2254405120 has 160 divisors (see below), whose sum is σ = 5939619840. Its totient is φ = 813834240.

The previous prime is 2254405093. The next prime is 2254405123. The reversal of 2254405120 is 215044522.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254405123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6279501 + ... + 6279859.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^2254405120 is an apocalyptic number.

2254405120 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 2254405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

2254405120 is an abundant number, since it is smaller than the sum of its proper divisors (3685214720).

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

2254405120 is a wasteful number, since it uses less digits than its factorization.

2254405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2254405120 is about 47480.5762391317. The cubic root of 2254405120 is about 1311.2253011294.

Adding to 2254405120 its reverse (215044522), we get a palindrome (2469449642).

The spelling of 2254405120 in words is "two billion, two hundred fifty-four million, four hundred five thousand, one hundred twenty".