2545520040 has 256 divisors, whose sum is σ = 9881740800. Its totient is φ = 570765312.

The previous prime is 2545520027. The next prime is 2545520051. The reversal of 2545520040 is 400255452.

2545520040 is a `hidden beast` number, since 2 + 5 + 455 + 200 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 2545519986 and 2545520013.

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 63 ways as a sum of consecutive naturals, for example, 397504 + ... + 403856.

It is an arithmetic number, because the mean of its divisors is an integer number (38600550).

Almost surely, 2^2545520040 is an apocalyptic number.

2545520040 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 2545520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940870400).

2545520040 is an abundant number, since it is smaller than the sum of its proper divisors (7336220760).

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

2545520040 is a wasteful number, since it uses less digits than its factorization.

2545520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2545520040 is about 50453.1469781618. The cubic root of 2545520040 is about 1365.3966725423.

Adding to 2545520040 its reverse (400255452), we get a palindrome (2945775492).

The spelling of 2545520040 in words is "two billion, five hundred forty-five million, five hundred twenty thousand, forty".