2259048960 has 960 divisors, whose sum is σ = 10076140800. Its totient is φ = 476872704.

The previous prime is 2259048959. The next prime is 2259048973. The reversal of 2259048960 is 698409522.

2259048960 is a `hidden beast` number, since 2 + 25 + 90 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77898226 + ... + 77898254.

It is an arithmetic number, because the mean of its divisors is an integer number (10495980).

Almost surely, 2^2259048960 is an apocalyptic number.

2259048960 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 2259048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038070400).

2259048960 is an abundant number, since it is smaller than the sum of its proper divisors (7817091840).

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

2259048960 is a wasteful number, since it uses less digits than its factorization.

2259048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2259048960 is about 47529.4536051068. The cubic root of 2259048960 is about 1312.1250128747.

The spelling of 2259048960 in words is "two billion, two hundred fifty-nine million, forty-eight thousand, nine hundred sixty".