2546481600 has 504 divisors, whose sum is σ = 9951224192. Its totient is φ = 613785600.

The previous prime is 2546481569. The next prime is 2546481607. The reversal of 2546481600 is 61846452.

2546481600 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 48 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546481607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11419089 + ... + 11419311.

Almost surely, 2^2546481600 is an apocalyptic number.

2546481600 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 2546481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975612096).

2546481600 is an abundant number, since it is smaller than the sum of its proper divisors (7404742592).

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

2546481600 is a wasteful number, since it uses less digits than its factorization.

2546481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

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

The square root of 2546481600 is about 50462.6753155240. The cubic root of 2546481600 is about 1365.5685752738.

The spelling of 2546481600 in words is "two billion, five hundred forty-six million, four hundred eighty-one thousand, six hundred".