2628480960 has 336 divisors, whose sum is σ = 10394484672. Its totient is φ = 597196800.

The previous prime is 2628480937. The next prime is 2628480961. The reversal of 2628480960 is 690848262.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628480961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4858290 + ... + 4858830.

Almost surely, 2^2628480960 is an apocalyptic number.

2628480960 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 2628480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197242336).

2628480960 is an abundant number, since it is smaller than the sum of its proper divisors (7766003712).

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

2628480960 is a wasteful number, since it uses less digits than its factorization.

2628480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2628480960 is about 51268.7132664747. The cubic root of 2628480960 is about 1380.0715778878.

The spelling of 2628480960 in words is "two billion, six hundred twenty-eight million, four hundred eighty thousand, nine hundred sixty".