2413986336 has 144 divisors (see below), whose sum is σ = 7043609664. Its totient is φ = 783923712.

The previous prime is 2413986319. The next prime is 2413986353. The reversal of 2413986336 is 6336893142.

2413986336 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 9 + 8 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2413986319) and next prime (2413986353).

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 a junction number, because it is equal to n+sod(n) for n = 2413986291 and 2413986300.

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, 2548615 + ... + 2549561.

It is an arithmetic number, because the mean of its divisors is an integer number (48913956).

Almost surely, 2^2413986336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413986336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521804832).

2413986336 is an abundant number, since it is smaller than the sum of its proper divisors (4629623328).

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

2413986336 is a wasteful number, since it uses less digits than its factorization.

2413986336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 2413986336 is about 49132.3349333206. The cubic root of 2413986336 is about 1341.4616737556.

The spelling of 2413986336 in words is "two billion, four hundred thirteen million, nine hundred eighty-six thousand, three hundred thirty-six".