2606542848 has 624 divisors, whose sum is σ = 9935355360. Its totient is φ = 668860416.

The previous prime is 2606542831. The next prime is 2606542877. The reversal of 2606542848 is 8482456062.

2606542848 is a `hidden beast` number, since 2 + 60 + 6 + 542 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×2606542848² = 13588131236919902208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70447086 + ... + 70447122.

Almost surely, 2^2606542848 is an apocalyptic number.

2606542848 is a gapful number since it is divisible by the number (28) 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 2606542848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967677680).

2606542848 is an abundant number, since it is smaller than the sum of its proper divisors (7328812512).

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

2606542848 is a wasteful number, since it uses less digits than its factorization.

2606542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2606542848 is about 51054.3127267423. The cubic root of 2606542848 is about 1376.2213453188.

The spelling of 2606542848 in words is "two billion, six hundred six million, five hundred forty-two thousand, eight hundred forty-eight".