2413577088 has 384 divisors, whose sum is σ = 7984005120. Its totient is φ = 721115136.

The previous prime is 2413577071. The next prime is 2413577099. The reversal of 2413577088 is 8807753142.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19004481 + ... + 19004607.

It is an arithmetic number, because the mean of its divisors is an integer number (20791680).

Almost surely, 2^2413577088 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 2413577088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992002560).

2413577088 is an abundant number, since it is smaller than the sum of its proper divisors (5570428032).

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

2413577088 is a wasteful number, since it uses less digits than its factorization.

2413577088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2413577088 is about 49128.1700045911. The cubic root of 2413577088 is about 1341.3858625651.

The spelling of 2413577088 in words is "two billion, four hundred thirteen million, five hundred seventy-seven thousand, eighty-eight".