2546826516 has 192 divisors, whose sum is σ = 7468070400. Its totient is φ = 745113600.

The previous prime is 2546826493. The next prime is 2546826517. The reversal of 2546826516 is 6156286452.

2546826516 is a `hidden beast` number, since 2 + 54 + 6 + 82 + 6 + 516 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546826517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2890396 + ... + 2891276.

It is an arithmetic number, because the mean of its divisors is an integer number (38896200).

Almost surely, 2^2546826516 is an apocalyptic number.

2546826516 is a gapful number since it is divisible by the number (26) 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 2546826516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734035200).

2546826516 is an abundant number, since it is smaller than the sum of its proper divisors (4921243884).

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

2546826516 is a wasteful number, since it uses less digits than its factorization.

2546826516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2546826516 is about 50466.0927356180. The cubic root of 2546826516 is about 1365.6302270298.

It can be divided in two parts, 25468 and 26516, that added together give a square (51984 = 228²).

The spelling of 2546826516 in words is "two billion, five hundred forty-six million, eight hundred twenty-six thousand, five hundred sixteen".