2411496864 has 144 divisors (see below), whose sum is σ = 7851811968. Its totient is φ = 687730176.

The previous prime is 2411496809. The next prime is 2411496887. The reversal of 2411496864 is 4686941142.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948854 + ... + 1950090.

It is an arithmetic number, because the mean of its divisors is an integer number (54526472).

Almost surely, 2^2411496864 is an apocalyptic number.

2411496864 is a gapful number since it is divisible by the number (24) 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 2411496864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925905984).

2411496864 is an abundant number, since it is smaller than the sum of its proper divisors (5440315104).

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

2411496864 is a wasteful number, since it uses less digits than its factorization.

2411496864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2411496864 is about 49106.9940436187. The cubic root of 2411496864 is about 1341.0003786949. Note that the first 3 decimals are identical.

The spelling of 2411496864 in words is "two billion, four hundred eleven million, four hundred ninety-six thousand, eight hundred sixty-four".