2427485760 has 560 divisors, whose sum is σ = 10462345344. Its totient is φ = 521551872.

The previous prime is 2427485759. The next prime is 2427485791. The reversal of 2427485760 is 675847242.

It is a happy number.

2427485760 is a `hidden beast` number, since 2 + 4 + 2 + 74 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3084087 + ... + 3084873.

Almost surely, 2^2427485760 is an apocalyptic number.

2427485760 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 2427485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231172672).

2427485760 is an abundant number, since it is smaller than the sum of its proper divisors (8034859584).

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

2427485760 is a wasteful number, since it uses less digits than its factorization.

2427485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2427485760 is about 49269.5216132651. The cubic root of 2427485760 is about 1343.9575879473.

The spelling of 2427485760 in words is "two billion, four hundred twenty-seven million, four hundred eighty-five thousand, seven hundred sixty".