2408992992 has 144 divisors (see below), whose sum is σ = 7936961760. Its totient is φ = 678813696.

The previous prime is 2408992991. The next prime is 2408993051. The reversal of 2408992992 is 2992998042.

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

It is a super-2 number, since 2×2408992992² = 11606494471010224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408992991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138984 + ... + 155352.

It is an arithmetic number, because the mean of its divisors is an integer number (55117790).

Almost surely, 2^2408992992 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 2408992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968480880).

2408992992 is an abundant number, since it is smaller than the sum of its proper divisors (5527968768).

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

2408992992 is a wasteful number, since it uses less digits than its factorization.

2408992992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16465 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2408992992 is about 49081.4933758133. The cubic root of 2408992992 is about 1340.5360949927.

The spelling of 2408992992 in words is "two billion, four hundred eight million, nine hundred ninety-two thousand, nine hundred ninety-two".