2416045230120 has 128 divisors (see below), whose sum is σ = 7313406796800. Its totient is φ = 638478618624.

The previous prime is 2416045230113. The next prime is 2416045230139. The reversal of 2416045230120 is 210325406142.

It is a super-3 number, since 3×2416045230120³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141869766 + ... + 141886794.

It is an arithmetic number, because the mean of its divisors is an integer number (57135990600).

Almost surely, 2^{2416045230120} is an apocalyptic number.

2416045230120 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 2416045230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656703398400).

2416045230120 is an abundant number, since it is smaller than the sum of its proper divisors (4897361566680).

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

2416045230120 is a wasteful number, since it uses less digits than its factorization.

2416045230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27619 (or 27615 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 2416045230120 in words is "two trillion, four hundred sixteen billion, forty-five million, two hundred thirty thousand, one hundred twenty".