2249753328 has 240 divisors, whose sum is σ = 6827348736. Its totient is φ = 690094080.

The previous prime is 2249753251. The next prime is 2249753393. The reversal of 2249753328 is 8233579422.

2249753328 is a `hidden beast` number, since 2 + 2 + 4 + 97 + 533 + 28 = 666.

It is a super-2 number, since 2×2249753328² = 10122780073694151168, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8753776 + ... + 8754032.

Almost surely, 2^2249753328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249753328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413674368).

2249753328 is an abundant number, since it is smaller than the sum of its proper divisors (4577595408).

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

2249753328 is a wasteful number, since it uses less digits than its factorization.

2249753328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2249753328 is about 47431.5646800735. The cubic root of 2249753328 is about 1310.3228091676.

The spelling of 2249753328 in words is "two billion, two hundred forty-nine million, seven hundred fifty-three thousand, three hundred twenty-eight".