2249248960 has 168 divisors, whose sum is σ = 6326422704. Its totient is φ = 759306240.

The previous prime is 2249248951. The next prime is 2249248997. The reversal of 2249248960 is 698429422.

It is a super-2 number, since 2×2249248960² = 10118241768122163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2249248960.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049490 + ... + 1051630.

It is an arithmetic number, because the mean of its divisors is an integer number (37657278).

Almost surely, 2^2249248960 is an apocalyptic number.

2249248960 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 2249248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163211352).

2249248960 is an abundant number, since it is smaller than the sum of its proper divisors (4077173744).

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

2249248960 is a wasteful number, since it uses less digits than its factorization.

2249248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 2249248960 is about 47426.2475850662. The cubic root of 2249248960 is about 1310.2248822409.

The spelling of 2249248960 in words is "two billion, two hundred forty-nine million, two hundred forty-eight thousand, nine hundred sixty".