2281541304 has 256 divisors, whose sum is σ = 7365427200. Its totient is φ = 573585408.

The previous prime is 2281541293. The next prime is 2281541329. The reversal of 2281541304 is 4031451822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3086967 + ... + 3087705.

It is an arithmetic number, because the mean of its divisors is an integer number (28771200).

Almost surely, 2^2281541304 is an apocalyptic number.

2281541304 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 2281541304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682713600).

2281541304 is an abundant number, since it is smaller than the sum of its proper divisors (5083885896).

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

2281541304 is a wasteful number, since it uses less digits than its factorization.

2281541304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2281541304 is about 47765.4823486584. The cubic root of 2281541304 is about 1316.4653875802.

The spelling of 2281541304 in words is "two billion, two hundred eighty-one million, five hundred forty-one thousand, three hundred four".