2546706096 has 280 divisors, whose sum is σ = 8431174656. Its totient is φ = 737320320.

The previous prime is 2546706061. The next prime is 2546706109. The reversal of 2546706096 is 6906076452.

It is a super-2 number, since 2×2546706096² = 12971423878807122432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2950561 + ... + 2951423.

Almost surely, 2^2546706096 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 2546706096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215587328).

2546706096 is an abundant number, since it is smaller than the sum of its proper divisors (5884468560).

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

2546706096 is a wasteful number, since it uses less digits than its factorization.

2546706096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2546706096 is about 50464.8996432174. The cubic root of 2546706096 is about 1365.6087032782.

The spelling of 2546706096 in words is "two billion, five hundred forty-six million, seven hundred six thousand, ninety-six".