2505234160 has 80 divisors (see below), whose sum is σ = 6842999520. Its totient is φ = 840913920.

The previous prime is 2505234139. The next prime is 2505234169. The reversal of 2505234160 is 614325052.

2505234160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2505234160⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505234169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98055 + ... + 120934.

It is an arithmetic number, because the mean of its divisors is an integer number (85537494).

Almost surely, 2^2505234160 is an apocalyptic number.

2505234160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2505234160 is an abundant number, since it is smaller than the sum of its proper divisors (4337765360).

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

2505234160 is a wasteful number, since it uses less digits than its factorization.

2505234160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219026 (or 219020 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2505234160 is about 50052.3142322111. The cubic root of 2505234160 is about 1358.1553277807.

The spelling of 2505234160 in words is "two billion, five hundred five million, two hundred thirty-four thousand, one hundred sixty".