2868480600 has 96 divisors (see below), whose sum is σ = 8914794000. Its totient is φ = 762992640.

The previous prime is 2868480583. The next prime is 2868480607. The reversal of 2868480600 is 60848682.

2868480600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2868480607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239556 + ... + 251244.

Almost surely, 2^2868480600 is an apocalyptic number.

2868480600 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 2868480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457397000).

2868480600 is an abundant number, since it is smaller than the sum of its proper divisors (6046313400).

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

2868480600 is a wasteful number, since it uses less digits than its factorization.

2868480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12117 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2868480600 is about 53558.1982519950. The cubic root of 2868480600 is about 1420.8578761184.

The spelling of 2868480600 in words is "two billion, eight hundred sixty-eight million, four hundred eighty thousand, six hundred".