2545500432384 has 2160 divisors, whose sum is σ = 10233646523100. Its totient is φ = 626053349376.

The previous prime is 2545500432383. The next prime is 2545500432407. The reversal of 2545500432384 is 4832340055452.

2545500432384 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 500 + 43 + 23 + 84 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 916997760000 + 1628502672384 = 957600^2 + 1276128^2 .

It is not an unprimeable number, because it can be changed into a prime (2545500432383) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23353214922 + ... + 23353215030.

Almost surely, 2^{2545500432384} is an apocalyptic number.

2545500432384 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 2545500432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116823261550).

2545500432384 is an abundant number, since it is smaller than the sum of its proper divisors (7688146090716).

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

2545500432384 is a wasteful number, since it uses less digits than its factorization.

2545500432384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 2545500432384 in words is "two trillion, five hundred forty-five billion, five hundred million, four hundred thirty-two thousand, three hundred eighty-four".