2413785984 has 128 divisors (see below), whose sum is σ = 6656732160. Its totient is φ = 774950400.

The previous prime is 2413785949. The next prime is 2413786007. The reversal of 2413785984 is 4895873142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 11439639 + ... + 11439849.

It is an arithmetic number, because the mean of its divisors is an integer number (52005720).

Almost surely, 2^2413785984 is an apocalyptic number.

2413785984 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 2413785984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328366080).

2413785984 is an abundant number, since it is smaller than the sum of its proper divisors (4242946176).

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

2413785984 is an frugal number, since it uses more digits than its factorization.

2413785984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 247 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 2413785984 is about 49130.2959893384. The cubic root of 2413785984 is about 1341.4245605981.

The spelling of 2413785984 in words is "two billion, four hundred thirteen million, seven hundred eighty-five thousand, nine hundred eighty-four".