2613257416 has 192 divisors, whose sum is σ = 6618931200. Its totient is φ = 953769600.

The previous prime is 2613257411. The next prime is 2613257419. The reversal of 2613257416 is 6147523162.

It is a super-2 number, since 2×2613257416² = 13658228644557994112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2613257411) 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, 13681881 + ... + 13682071.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^2613257416 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 2613257416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309465600).

2613257416 is an abundant number, since it is smaller than the sum of its proper divisors (4005673784).

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

2613257416 is a wasteful number, since it uses less digits than its factorization.

2613257416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 2613257416 is about 51120.0294992090. The cubic root of 2613257416 is about 1377.4020674270.

The spelling of 2613257416 in words is "two billion, six hundred thirteen million, two hundred fifty-seven thousand, four hundred sixteen".