2263652352 has 384 divisors, whose sum is σ = 7485004800. Its totient is φ = 671514624.

The previous prime is 2263652327. The next prime is 2263652371. The reversal of 2263652352 is 2532563622.

2263652352 is a `hidden beast` number, since 22 + 63 + 6 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 33785823 + ... + 33785889.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2^2263652352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742502400).

2263652352 is an abundant number, since it is smaller than the sum of its proper divisors (5221352448).

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

2263652352 is a wasteful number, since it uses less digits than its factorization.

2263652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2263652352 is about 47577.8556893856. The cubic root of 2263652352 is about 1313.0156719818.

The spelling of 2263652352 in words is "two billion, two hundred sixty-three million, six hundred fifty-two thousand, three hundred fifty-two".