2480889600 has 648 divisors, whose sum is σ = 10618539120. Its totient is φ = 565125120.

The previous prime is 2480889599. The next prime is 2480889613. The reversal of 2480889600 is 69880842.

It is a happy number.

2480889600 is a `hidden beast` number, since 2 + 480 + 88 + 96 + 0 + 0 = 666.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 8467054 + ... + 8467346.

Almost surely, 2^2480889600 is an apocalyptic number.

2480889600 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 2480889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309269560).

2480889600 is an abundant number, since it is smaller than the sum of its proper divisors (8137649520).

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

2480889600 is a wasteful number, since it uses less digits than its factorization.

2480889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2480889600 is about 49808.5293900553. The cubic root of 2480889600 is about 1353.7417184751.

The spelling of 2480889600 in words is "two billion, four hundred eighty million, eight hundred eighty-nine thousand, six hundred".