2628147240 has 48 divisors (see below), whose sum is σ = 8541479700. Its totient is φ = 700839168.

The previous prime is 2628147239. The next prime is 2628147251. The reversal of 2628147240 is 427418262.

2628147240 is a `hidden beast` number, since 2 + 628 + 1 + 4 + 7 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2196421956 + 431725284 = 46866^2 + 20778^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2628147195 and 2628147204.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3649845 + ... + 3650564.

Almost surely, 2^2628147240 is an apocalyptic number.

2628147240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2628147240 is an abundant number, since it is smaller than the sum of its proper divisors (5913332460).

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

2628147240 is a wasteful number, since it uses less digits than its factorization.

2628147240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300426 (or 7300419 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2628147240 is about 51265.4585466667. The cubic root of 2628147240 is about 1380.0131693765.

The spelling of 2628147240 in words is "two billion, six hundred twenty-eight million, one hundred forty-seven thousand, two hundred forty".