2263380624 has 160 divisors (see below), whose sum is σ = 6868310400. Its totient is φ = 711659520.

The previous prime is 2263380617. The next prime is 2263380641. The reversal of 2263380624 is 4260833622.

2263380624 is a `hidden beast` number, since 2 + 26 + 3 + 3 + 8 + 0 + 624 = 666.

It is a Cunningham number, because it is equal to 47575²-1.

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

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 31 ways as a sum of consecutive naturals, for example, 2568664 + ... + 2569544.

It is an arithmetic number, because the mean of its divisors is an integer number (42926940).

Almost surely, 2^2263380624 is an apocalyptic number.

2263380624 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 2263380624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434155200).

2263380624 is an abundant number, since it is smaller than the sum of its proper divisors (4604929776).

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

2263380624 is a wasteful number, since it uses less digits than its factorization.

2263380624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2263380624 is about 47574.9999894903. Note that the first 4 decimals coincide. The cubic root of 2263380624 is about 1312.9631319059.

The spelling of 2263380624 in words is "two billion, two hundred sixty-three million, three hundred eighty thousand, six hundred twenty-four".