2427360480 has 192 divisors, whose sum is σ = 8534937600. Its totient is φ = 644313600.

The previous prime is 2427360473. The next prime is 2427360491. The reversal of 2427360480 is 840637242.

2427360480 is a `hidden beast` number, since 2 + 42 + 7 + 3 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1031305 + ... + 1033655.

It is an arithmetic number, because the mean of its divisors is an integer number (44452800).

Almost surely, 2^2427360480 is an apocalyptic number.

2427360480 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 2427360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267468800).

2427360480 is an abundant number, since it is smaller than the sum of its proper divisors (6107577120).

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

2427360480 is a wasteful number, since it uses less digits than its factorization.

2427360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2427360480 is about 49268.2502226332. The cubic root of 2427360480 is about 1343.9344674680.

The spelling of 2427360480 in words is "two billion, four hundred twenty-seven million, three hundred sixty thousand, four hundred eighty".