2249533440 has 576 divisors, whose sum is σ = 9750948480. Its totient is φ = 465960960.

The previous prime is 2249533427. The next prime is 2249533457. The reversal of 2249533440 is 443359422.

2249533440 is a `hidden beast` number, since 224 + 95 + 3 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2249533395 and 2249533404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7096162 + ... + 7096478.

It is an arithmetic number, because the mean of its divisors is an integer number (16928730).

Almost surely, 2^2249533440 is an apocalyptic number.

2249533440 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 2249533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875474240).

2249533440 is an abundant number, since it is smaller than the sum of its proper divisors (7501415040).

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

2249533440 is a wasteful number, since it uses less digits than its factorization.

2249533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2249533440 is about 47429.2466733344. The cubic root of 2249533440 is about 1310.2801180207.

The spelling of 2249533440 in words is "two billion, two hundred forty-nine million, five hundred thirty-three thousand, four hundred forty".