2546380800 has 390 divisors, whose sum is σ = 9463127828. Its totient is φ = 676823040.

The previous prime is 2546380787. The next prime is 2546380801. The reversal of 2546380800 is 80836452.

2546380800 is a `hidden beast` number, since 2 + 546 + 38 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2546380801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294247 + ... + 8294553.

Almost surely, 2^2546380800 is an apocalyptic number.

2546380800 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 2546380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731563914).

2546380800 is an abundant number, since it is smaller than the sum of its proper divisors (6916747028).

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

2546380800 is an equidigital number, since it uses as much as digits as its factorization.

2546380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2546380800 is about 50461.6765476535. The cubic root of 2546380800 is about 1365.5505568009.

The spelling of 2546380800 in words is "two billion, five hundred forty-six million, three hundred eighty thousand, eight hundred".