2546016616 has 128 divisors (see below), whose sum is σ = 5798822400. Its totient is φ = 1032641280.

The previous prime is 2546016601. The next prime is 2546016623. The reversal of 2546016616 is 6166106452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4521951 + ... + 4522513.

It is an arithmetic number, because the mean of its divisors is an integer number (45303300).

Almost surely, 2^2546016616 is an apocalyptic number.

2546016616 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 2546016616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899411200).

2546016616 is an abundant number, since it is smaller than the sum of its proper divisors (3252805784).

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

2546016616 is a wasteful number, since it uses less digits than its factorization.

2546016616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2546016616 is about 50458.0678980081. The cubic root of 2546016616 is about 1365.4854532398.

The spelling of 2546016616 in words is "two billion, five hundred forty-six million, sixteen thousand, six hundred sixteen".