2427963160 has 128 divisors (see below), whose sum is σ = 6335884800. Its totient is φ = 820224000.

The previous prime is 2427963149. The next prime is 2427963163. The reversal of 2427963160 is 613697242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427963163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9673035 + ... + 9673285.

It is an arithmetic number, because the mean of its divisors is an integer number (49499100).

Almost surely, 2^2427963160 is an apocalyptic number.

2427963160 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 2427963160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167942400).

2427963160 is an abundant number, since it is smaller than the sum of its proper divisors (3907921640).

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

2427963160 is a wasteful number, since it uses less digits than its factorization.

2427963160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 2427963160 is about 49274.3661552333. The cubic root of 2427963160 is about 1344.0456850377.

The spelling of 2427963160 in words is "two billion, four hundred twenty-seven million, nine hundred sixty-three thousand, one hundred sixty".