2606451264 has 112 divisors (see below), whose sum is σ = 7995757440. Its totient is φ = 831029760.

The previous prime is 2606451247. The next prime is 2606451269. The reversal of 2606451264 is 4621546062.

2606451264 is a `hidden beast` number, since 2 + 6 + 0 + 645 + 1 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2606451269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6954 + ... + 72534.

Almost surely, 2^2606451264 is an apocalyptic number.

2606451264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2606451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997878720).

2606451264 is an abundant number, since it is smaller than the sum of its proper divisors (5389306176).

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

2606451264 is a wasteful number, since it uses less digits than its factorization.

2606451264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65625 (or 65609 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2606451264 is about 51053.4157916980. The cubic root of 2606451264 is about 1376.2052267358.

The spelling of 2606451264 in words is "two billion, six hundred six million, four hundred fifty-one thousand, two hundred sixty-four".