2545345440 has 576 divisors, whose sum is σ = 10056638592. Its totient is φ = 580608000.

The previous prime is 2545345433. The next prime is 2545345441. The reversal of 2545345440 is 445435452.

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 = 2545345395 and 2545345404.

It is not an unprimeable number, because it can be changed into a prime (2545345441) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25201390 + ... + 25201490.

It is an arithmetic number, because the mean of its divisors is an integer number (17459442).

Almost surely, 2^2545345440 is an apocalyptic number.

2545345440 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 2545345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028319296).

2545345440 is an abundant number, since it is smaller than the sum of its proper divisors (7511293152).

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

2545345440 is a wasteful number, since it uses less digits than its factorization.

2545345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

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

The square root of 2545345440 is about 50451.4166302593. The cubic root of 2545345440 is about 1365.3654538121.

The spelling of 2545345440 in words is "two billion, five hundred forty-five million, three hundred forty-five thousand, four hundred forty".