2546640576 has 168 divisors, whose sum is σ = 7601045504. Its totient is φ = 814302720.

The previous prime is 2546640517. The next prime is 2546640581. The reversal of 2546640576 is 6750466452.

It is a super-2 number, since 2×2546640576² = 12970756446659223552, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2267151 + ... + 2268273.

Almost surely, 2^2546640576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3800522752).

2546640576 is an abundant number, since it is smaller than the sum of its proper divisors (5054404928).

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

2546640576 is a wasteful number, since it uses less digits than its factorization.

2546640576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 2546640576 is about 50464.2504749649. The cubic root of 2546640576 is about 1365.5969920132.

It can be divided in two parts, 2546640 and 576, that added together give a square (2547216 = 1596²).

The spelling of 2546640576 in words is "two billion, five hundred forty-six million, six hundred forty thousand, five hundred seventy-six".