2427020460 has 144 divisors (see below), whose sum is σ = 7535717280. Its totient is φ = 632079360.

The previous prime is 2427020459. The next prime is 2427020471. The reversal of 2427020460 is 640207242.

It is a happy number.

It is a super-2 number, since 2×2427020460² = 11780856626517223200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1836600 + ... + 1837920.

It is an arithmetic number, because the mean of its divisors is an integer number (52331370).

Almost surely, 2^2427020460 is an apocalyptic number.

2427020460 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 2427020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767858640).

2427020460 is an abundant number, since it is smaller than the sum of its proper divisors (5108696820).

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

2427020460 is a wasteful number, since it uses less digits than its factorization.

2427020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2427020460 is about 49264.7994007892. The cubic root of 2427020460 is about 1343.8717126169.

The spelling of 2427020460 in words is "two billion, four hundred twenty-seven million, twenty thousand, four hundred sixty".