2411688960 has 264 divisors, whose sum is σ = 8430364800. Its totient is φ = 637452288.

The previous prime is 2411688959. The next prime is 2411688967. The reversal of 2411688960 is 698861142.

2411688960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411688967) 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, 9169789 + ... + 9170051.

It is an arithmetic number, because the mean of its divisors is an integer number (31933200).

Almost surely, 2^2411688960 is an apocalyptic number.

2411688960 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 2411688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215182400).

2411688960 is an abundant number, since it is smaller than the sum of its proper divisors (6018675840).

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

2411688960 is a wasteful number, since it uses less digits than its factorization.

2411688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2411688960 is about 49108.9498971420. The cubic root of 2411688960 is about 1341.0359850677.

The spelling of 2411688960 in words is "two billion, four hundred eleven million, six hundred eighty-eight thousand, nine hundred sixty".