2411981904 has 80 divisors (see below), whose sum is σ = 6648929600. Its totient is φ = 751223808.

The previous prime is 2411981899. The next prime is 2411981951. The reversal of 2411981904 is 4091891142.

2411981904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48462 + ... + 84690.

It is an arithmetic number, because the mean of its divisors is an integer number (83111620).

Almost surely, 2^2411981904 is an apocalyptic number.

2411981904 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 2411981904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324464800).

2411981904 is an abundant number, since it is smaller than the sum of its proper divisors (4236947696).

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

2411981904 is a wasteful number, since it uses less digits than its factorization.

2411981904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36332 (or 36326 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 2411981904 is about 49111.9323993671. The cubic root of 2411981904 is about 1341.0902807013.

The spelling of 2411981904 in words is "two billion, four hundred eleven million, nine hundred eighty-one thousand, nine hundred four".