2468880000 has 480 divisors, whose sum is σ = 9279029760. Its totient is φ = 653184000.

The previous prime is 2468879993. The next prime is 2468880013. The reversal of 2468880000 is 888642.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 59 ways as a sum of consecutive naturals, for example, 19439937 + ... + 19440063.

It is an arithmetic number, because the mean of its divisors is an integer number (19331312).

Almost surely, 2^2468880000 is an apocalyptic number.

2468880000 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 2468880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639514880).

2468880000 is an abundant number, since it is smaller than the sum of its proper divisors (6810149760).

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

2468880000 is an frugal number, since it uses more digits than its factorization.

2468880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2468880000 is about 49687.8254706321. The cubic root of 2468880000 is about 1351.5537665802.

The spelling of 2468880000 in words is "two billion, four hundred sixty-eight million, eight hundred eighty thousand".