2419282160 has 80 divisors (see below), whose sum is σ = 6111989760. Its totient is φ = 887189760.

The previous prime is 2419282153. The next prime is 2419282169. The reversal of 2419282160 is 612829142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2419282160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2419282169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21449 + ... + 72791.

It is an arithmetic number, because the mean of its divisors is an integer number (76399872).

Almost surely, 2^2419282160 is an apocalyptic number.

2419282160 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 2419282160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055994880).

2419282160 is an abundant number, since it is smaller than the sum of its proper divisors (3692707600).

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

2419282160 is a wasteful number, since it uses less digits than its factorization.

2419282160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51406 (or 51400 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2419282160 is about 49186.1988773274. The cubic root of 2419282160 is about 1342.4419273302.

The spelling of 2419282160 in words is "two billion, four hundred nineteen million, two hundred eighty-two thousand, one hundred sixty".