2407480747200 has 336 divisors, whose sum is σ = 8778540553120. Its totient is φ = 641820672000.

The previous prime is 2407480747121. The next prime is 2407480747207. The reversal of 2407480747200 is 27470847042.

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

It is not an unprimeable number, because it can be changed into a prime (2407480747207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274790820 + ... + 274799580.

Almost surely, 2^{2407480747200} is an apocalyptic number.

2407480747200 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 2407480747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389270276560).

2407480747200 is an abundant number, since it is smaller than the sum of its proper divisors (6371059805920).

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

2407480747200 is a wasteful number, since it uses less digits than its factorization.

2407480747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15153 (or 15132 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 2407480747200 in words is "two trillion, four hundred seven billion, four hundred eighty million, seven hundred forty-seven thousand, two hundred".