2546483040 has 432 divisors, whose sum is σ = 9594683280. Its totient is φ = 614154240.

The previous prime is 2546483033. The next prime is 2546483053. The reversal of 2546483040 is 403846452.

2546483040 is a `hidden beast` number, since 2 + 5 + 4 + 648 + 3 + 0 + 4 + 0 = 666.

2546483040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2546482986 and 2546483004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12068535 + ... + 12068745.

It is an arithmetic number, because the mean of its divisors is an integer number (22209915).

Almost surely, 2^2546483040 is an apocalyptic number.

2546483040 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 2546483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797341640).

2546483040 is an abundant number, since it is smaller than the sum of its proper divisors (7048200240).

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

2546483040 is a wasteful number, since it uses less digits than its factorization.

2546483040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2546483040 is about 50462.6895834933. The cubic root of 2546483040 is about 1365.5688326771.

The spelling of 2546483040 in words is "two billion, five hundred forty-six million, four hundred eighty-three thousand, forty".