2545580160 has 192 divisors, whose sum is σ = 8978186880. Its totient is φ = 664307712.

The previous prime is 2545580123. The next prime is 2545580227. The reversal of 2545580160 is 610855452.

2545580160 is a `hidden beast` number, since 2 + 545 + 58 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266019 + ... + 275421.

It is an arithmetic number, because the mean of its divisors is an integer number (46761390).

Almost surely, 2^2545580160 is an apocalyptic number.

2545580160 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 2545580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489093440).

2545580160 is an abundant number, since it is smaller than the sum of its proper divisors (6432606720).

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

2545580160 is a wasteful number, since it uses less digits than its factorization.

2545580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9475 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2545580160 is about 50453.7427749419. The cubic root of 2545580160 is about 1365.4074217541.

The spelling of 2545580160 in words is "two billion, five hundred forty-five million, five hundred eighty thousand, one hundred sixty".