2658281472 has 288 divisors, whose sum is σ = 9577189440. Its totient is φ = 690094080.

The previous prime is 2658281471. The next prime is 2658281489. The reversal of 2658281472 is 2741828562.

2658281472 is a `hidden beast` number, since 26 + 5 + 82 + 81 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2658281471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1418328 + ... + 1420200.

It is an arithmetic number, because the mean of its divisors is an integer number (33254130).

Almost surely, 2^2658281472 is an apocalyptic number.

2658281472 is a gapful number since it is divisible by the number (22) 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 2658281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788594720).

2658281472 is an abundant number, since it is smaller than the sum of its proper divisors (6918907968).

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

2658281472 is a wasteful number, since it uses less digits than its factorization.

2658281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1896 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2658281472 is about 51558.5247267608. The cubic root of 2658281472 is about 1385.2675302424.

The spelling of 2658281472 in words is "two billion, six hundred fifty-eight million, two hundred eighty-one thousand, four hundred seventy-two".