2411266160160 has 3072 divisors, whose sum is σ = 10897408327680. Its totient is φ = 489701376000.

The previous prime is 2411266160143. The next prime is 2411266160209. The reversal of 2411266160160 is 610616621142.

2411266160160 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 26 + 616 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 29051399479 + ... + 29051399561.

It is an arithmetic number, because the mean of its divisors is an integer number (3547333440).

Almost surely, 2^{2411266160160} is an apocalyptic number.

2411266160160 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 2411266160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448704163840).

2411266160160 is an abundant number, since it is smaller than the sum of its proper divisors (8486142167520).

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

2411266160160 is a wasteful number, since it uses less digits than its factorization.

2411266160160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2411266160160 in words is "two trillion, four hundred eleven billion, two hundred sixty-six million, one hundred sixty thousand, one hundred sixty".