2265661552 has 160 divisors (see below), whose sum is σ = 5867910144. Its totient is φ = 821145600.

The previous prime is 2265661501. The next prime is 2265661571. The reversal of 2265661552 is 2551665622.

It is a super-2 number, since 2×2265661552² = 10266444536422097408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047352 + ... + 1049512.

Almost surely, 2^2265661552 is an apocalyptic number.

2265661552 is a gapful number since it is divisible by the number (22) 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 2265661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933955072).

2265661552 is an abundant number, since it is smaller than the sum of its proper divisors (3602248592).

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

2265661552 is a wasteful number, since it uses less digits than its factorization.

2265661552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2241 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The square root of 2265661552 is about 47598.9658711195. The cubic root of 2265661552 is about 1313.4040312262.

The spelling of 2265661552 in words is "two billion, two hundred sixty-five million, six hundred sixty-one thousand, five hundred fifty-two".