2610645360 has 160 divisors (see below), whose sum is σ = 8477457408. Its totient is φ = 663336960.

The previous prime is 2610645343. The next prime is 2610645403. The reversal of 2610645360 is 635460162.

2610645360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727005 + ... + 1728515.

Almost surely, 2^2610645360 is an apocalyptic number.

2610645360 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 2610645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238728704).

2610645360 is an abundant number, since it is smaller than the sum of its proper divisors (5866812048).

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

2610645360 is a wasteful number, since it uses less digits than its factorization.

2610645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2610645360 is about 51094.4748480694. The cubic root of 2610645360 is about 1376.9429914973.

The spelling of 2610645360 in words is "two billion, six hundred ten million, six hundred forty-five thousand, three hundred sixty".