2606967456 has 96 divisors (see below), whose sum is σ = 6923750400. Its totient is φ = 858842880.

The previous prime is 2606967449. The next prime is 2606967463. The reversal of 2606967456 is 6547696062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2606967449) and next prime (2606967463).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2606967456² = 13592558633286223872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2606967399 and 2606967408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625465 + ... + 3626183.

It is an arithmetic number, because the mean of its divisors is an integer number (72122400).

Almost surely, 2^2606967456 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 2606967456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461875200).

2606967456 is an abundant number, since it is smaller than the sum of its proper divisors (4316782944).

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

2606967456 is a wasteful number, since it uses less digits than its factorization.

2606967456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 2606967456 is about 51058.4709524286. The cubic root of 2606967456 is about 1376.2960704623.

The spelling of 2606967456 in words is "two billion, six hundred six million, nine hundred sixty-seven thousand, four hundred fifty-six".