2281264128 has 352 divisors, whose sum is σ = 7950875520. Its totient is φ = 637009920.

The previous prime is 2281264123. The next prime is 2281264133. The reversal of 2281264128 is 8214621822.

2281264128 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 2 + 641 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2281264123) and next prime (2281264133).

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2281264092 and 2281264101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281264121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3953376 + ... + 3953952.

Almost surely, 2^2281264128 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 2281264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975437760).

2281264128 is an abundant number, since it is smaller than the sum of its proper divisors (5669611392).

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

2281264128 is a wasteful number, since it uses less digits than its factorization.

2281264128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 606 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 2281264128 is about 47762.5808347916. The cubic root of 2281264128 is about 1316.4120745870.

The spelling of 2281264128 in words is "two billion, two hundred eighty-one million, two hundred sixty-four thousand, one hundred twenty-eight".