2480360400 has 720 divisors, whose sum is σ = 10604827200. Its totient is φ = 548674560.

The previous prime is 2480360387. The next prime is 2480360417. The reversal of 2480360400 is 40630842.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 22755546 + ... + 22755654.

Almost surely, 2^2480360400 is an apocalyptic number.

2480360400 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 2480360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302413600).

2480360400 is an abundant number, since it is smaller than the sum of its proper divisors (8124466800).

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

2480360400 is a wasteful number, since it uses less digits than its factorization.

2480360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2480360400 is about 49803.2167635786. The cubic root of 2480360400 is about 1353.6454558197.

The spelling of 2480360400 in words is "two billion, four hundred eighty million, three hundred sixty thousand, four hundred".