2453540544 has 420 divisors, whose sum is σ = 9123572304. Its totient is φ = 646216704.

The previous prime is 2453540543. The next prime is 2453540549. The reversal of 2453540544 is 4450453542.

2453540544 is a `hidden beast` number, since 2 + 45 + 35 + 40 + 544 = 666.

It is a super-2 number, since 2×2453540544² = 12039722402103631872, which contains 22 as substring.

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 = 2453540499 and 2453540508.

It is not an unprimeable number, because it can be changed into a prime (2453540543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3301837 + ... + 3302579.

Almost surely, 2^2453540544 is an apocalyptic number.

2453540544 is a gapful number since it is divisible by the number (24) 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 2453540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561786152).

2453540544 is an abundant number, since it is smaller than the sum of its proper divisors (6670031760).

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

2453540544 is a wasteful number, since it uses less digits than its factorization.

2453540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 2453540544 is about 49533.2266665518. The cubic root of 2453540544 is about 1348.7488259608.

The spelling of 2453540544 in words is "two billion, four hundred fifty-three million, five hundred forty thousand, five hundred forty-four".