2416181709456 has 120 divisors (see below), whose sum is σ = 7074377496576. Its totient is φ = 768364945920.

The previous prime is 2416181709427. The next prime is 2416181709457. The reversal of 2416181709456 is 6549071816142.

2416181709456 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 18 + 170 + 9 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (2416181709457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316116 + ... + 2220876.

Almost surely, 2^{2416181709456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2416181709456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537188748288).

2416181709456 is an abundant number, since it is smaller than the sum of its proper divisors (4658195787120).

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

2416181709456 is a wasteful number, since it uses less digits than its factorization.

2416181709456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905181 (or 1905172 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 2416181709456 in words is "two trillion, four hundred sixteen billion, one hundred eighty-one million, seven hundred nine thousand, four hundred fifty-six".