2265562584 has 192 divisors, whose sum is σ = 6835046400. Its totient is φ = 674956800.

The previous prime is 2265562571. The next prime is 2265562597. The reversal of 2265562584 is 4852655622.

It is a happy number.

2265562584 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 5 + 62 + 584 = 666.

2265562584 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2265562571) and next prime (2265562597).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738077 + ... + 1739379.

It is an arithmetic number, because the mean of its divisors is an integer number (35599200).

Almost surely, 2^2265562584 is an apocalyptic number.

2265562584 is a gapful number since it is divisible by the number (24) 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 2265562584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417523200).

2265562584 is an abundant number, since it is smaller than the sum of its proper divisors (4569483816).

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

2265562584 is a wasteful number, since it uses less digits than its factorization.

2265562584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1399 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 2265562584 is about 47597.9262573486. The cubic root of 2265562584 is about 1313.3849070307.

The spelling of 2265562584 in words is "two billion, two hundred sixty-five million, five hundred sixty-two thousand, five hundred eighty-four".