2628347904 has 288 divisors, whose sum is σ = 9348917760. Its totient is φ = 692748288.

The previous prime is 2628347899. The next prime is 2628347929. The reversal of 2628347904 is 4097438262.

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

It is a super-2 number, since 2×2628347904² = 13816425408922386432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2628347904.

It is a congruent number.

It is an unprimeable number.

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, 1676529 + ... + 1678095.

It is an arithmetic number, because the mean of its divisors is an integer number (32461520).

Almost surely, 2^2628347904 is an apocalyptic number.

2628347904 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 2628347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674458880).

2628347904 is an abundant number, since it is smaller than the sum of its proper divisors (6720569856).

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

2628347904 is a wasteful number, since it uses less digits than its factorization.

2628347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2628347904 is about 51267.4156165493. The cubic root of 2628347904 is about 1380.0482906857.

The spelling of 2628347904 in words is "two billion, six hundred twenty-eight million, three hundred forty-seven thousand, nine hundred four".