2263647840 has 192 divisors, whose sum is σ = 7666928640. Its totient is φ = 559595520.

The previous prime is 2263647829. The next prime is 2263647851. The reversal of 2263647840 is 487463622.

It is an interprime number because it is at equal distance from previous prime (2263647829) and next prime (2263647851).

It is a junction number, because it is equal to n+sod(n) for n = 2263647792 and 2263647801.

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 31 ways as a sum of consecutive naturals, for example, 426000 + ... + 431280.

It is an arithmetic number, because the mean of its divisors is an integer number (39931920).

Almost surely, 2^2263647840 is an apocalyptic number.

2263647840 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 2263647840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833464320).

2263647840 is an abundant number, since it is smaller than the sum of its proper divisors (5403280800).

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

2263647840 is a wasteful number, since it uses less digits than its factorization.

2263647840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2263647840 is about 47577.8082723448. The cubic root of 2263647840 is about 1313.0147995966.

The spelling of 2263647840 in words is "two billion, two hundred sixty-three million, six hundred forty-seven thousand, eight hundred forty".