2546839680 has 768 divisors, whose sum is σ = 10850319360. Its totient is φ = 501473280.

The previous prime is 2546839661. The next prime is 2546839721. The reversal of 2546839680 is 869386452.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23802187 + ... + 23802293.

It is an arithmetic number, because the mean of its divisors is an integer number (14128020).

Almost surely, 2^2546839680 is an apocalyptic number.

2546839680 is a gapful number since it is divisible by the number (20) 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 2546839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425159680).

2546839680 is an abundant number, since it is smaller than the sum of its proper divisors (8303479680).

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

2546839680 is a wasteful number, since it uses less digits than its factorization.

2546839680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2546839680 is about 50466.2231596540. The cubic root of 2546839680 is about 1365.6325799089.

The spelling of 2546839680 in words is "two billion, five hundred forty-six million, eight hundred thirty-nine thousand, six hundred eighty".