2295786240 has 648 divisors, whose sum is σ = 9202733904. Its totient is φ = 547430400.

The previous prime is 2295786223. The next prime is 2295786263. The reversal of 2295786240 is 426875922.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37635810 + ... + 37635870.

Almost surely, 2^2295786240 is an apocalyptic number.

2295786240 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 2295786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601366952).

2295786240 is an abundant number, since it is smaller than the sum of its proper divisors (6906947664).

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

2295786240 is an equidigital number, since it uses as much as digits as its factorization.

2295786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2295786240 is about 47914.3636084212. The cubic root of 2295786240 is about 1319.1995146612.

The spelling of 2295786240 in words is "two billion, two hundred ninety-five million, seven hundred eighty-six thousand, two hundred forty".