2509661160 has 384 divisors, whose sum is σ = 8883108000. Its totient is φ = 613122048.

The previous prime is 2509661107. The next prime is 2509661201. The reversal of 2509661160 is 611669052.

2509661160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 435223044 + 2074438116 = 20862^2 + 45546^2 .

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 95 ways as a sum of consecutive naturals, for example, 28198396 + ... + 28198484.

Almost surely, 2^2509661160 is an apocalyptic number.

2509661160 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 2509661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441554000).

2509661160 is an abundant number, since it is smaller than the sum of its proper divisors (6373446840).

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

2509661160 is a wasteful number, since it uses less digits than its factorization.

2509661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2509661160 is about 50096.5184419037. The cubic root of 2509661160 is about 1358.9548559059.

The spelling of 2509661160 in words is "two billion, five hundred nine million, six hundred sixty-one thousand, one hundred sixty".