2254399360 has 128 divisors (see below), whose sum is σ = 5601024000. Its totient is φ = 866764800.

The previous prime is 2254399339. The next prime is 2254399363. The reversal of 2254399360 is 639934522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254399363) 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, 3947875 + ... + 3948445.

It is an arithmetic number, because the mean of its divisors is an integer number (43758000).

Almost surely, 2^2254399360 is an apocalyptic number.

2254399360 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 2254399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800512000).

2254399360 is an abundant number, since it is smaller than the sum of its proper divisors (3346624640).

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

2254399360 is a wasteful number, since it uses less digits than its factorization.

2254399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 2254399360 is about 47480.5155827103. The cubic root of 2254399360 is about 1311.2241844025.

The spelling of 2254399360 in words is "two billion, two hundred fifty-four million, three hundred ninety-nine thousand, three hundred sixty".