2249904384 has 576 divisors, whose sum is σ = 8470336000. Its totient is φ = 585252864.

The previous prime is 2249904383. The next prime is 2249904401. The reversal of 2249904384 is 4834099422.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2249904383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30820572 + ... + 30820644.

Almost surely, 2^2249904384 is an apocalyptic number.

2249904384 is a gapful number since it is divisible by the number (24) 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 2249904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235168000).

2249904384 is an abundant number, since it is smaller than the sum of its proper divisors (6220431616).

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

2249904384 is an equidigital number, since it uses as much as digits as its factorization.

2249904384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2249904384 is about 47433.1570106819. The cubic root of 2249904384 is about 1310.3521350038.

The spelling of 2249904384 in words is "two billion, two hundred forty-nine million, nine hundred four thousand, three hundred eighty-four".