2458967616 has 336 divisors, whose sum is σ = 8439595008. Its totient is φ = 669772800.

The previous prime is 2458967611. The next prime is 2458967659. The reversal of 2458967616 is 6167698542.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2458967611) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12874081 + ... + 12874271.

Almost surely, 2^2458967616 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 2458967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219797504).

2458967616 is an abundant number, since it is smaller than the sum of its proper divisors (5980627392).

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

2458967616 is a wasteful number, since it uses less digits than its factorization.

2458967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 2458967616 is about 49587.9785431913. The cubic root of 2458967616 is about 1349.7425418498.

The spelling of 2458967616 in words is "two billion, four hundred fifty-eight million, nine hundred sixty-seven thousand, six hundred sixteen".