2416000000 has 154 divisors (see below), whose sum is σ = 6076953464. Its totient is φ = 960000000.

The previous prime is 2415999997. The next prime is 2416000019. The reversal of 2416000000 is 6142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15999925 + ... + 16000075.

Almost surely, 2^2416000000 is an apocalyptic number.

2416000000 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 2416000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038476732).

2416000000 is an abundant number, since it is smaller than the sum of its proper divisors (3660953464).

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

2416000000 is an frugal number, since it uses more digits than its factorization.

2416000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2416000000 is about 49152.8229097780. The cubic root of 2416000000 is about 1341.8345704162.

Adding to 2416000000 its reverse (6142), we get a palindrome (2416006142).

The spelling of 2416000000 in words is "two billion, four hundred sixteen million", and thus it is an aban number.