2628550440 has 384 divisors, whose sum is σ = 9571161600. Its totient is φ = 646652160.

The previous prime is 2628550439. The next prime is 2628550487. The reversal of 2628550440 is 440558262.

It is a happy number.

2628550440 is a `hidden beast` number, since 2 + 62 + 8 + 550 + 4 + 40 = 666.

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 = 2628550395 and 2628550404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7941075 + ... + 7941405.

It is an arithmetic number, because the mean of its divisors is an integer number (24924900).

Almost surely, 2^2628550440 is an apocalyptic number.

2628550440 is a gapful number since it is divisible by the number (20) 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 2628550440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785580800).

2628550440 is an abundant number, since it is smaller than the sum of its proper divisors (6942611160).

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

2628550440 is a wasteful number, since it uses less digits than its factorization.

2628550440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2628550440 is about 51269.3908682364. The cubic root of 2628550440 is about 1380.0837378299.

The spelling of 2628550440 in words is "two billion, six hundred twenty-eight million, five hundred fifty thousand, four hundred forty".