2263842000 has 640 divisors, whose sum is σ = 9526533120. Its totient is φ = 503193600.

The previous prime is 2263841971. The next prime is 2263842013. The reversal of 2263842000 is 2483622.

2263842000 is a `hidden beast` number, since 2 + 2 + 638 + 4 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20033944 + ... + 20034056.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^2263842000 is an apocalyptic number.

2263842000 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 2263842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763266560).

2263842000 is an abundant number, since it is smaller than the sum of its proper divisors (7262691120).

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

2263842000 is a wasteful number, since it uses less digits than its factorization.

2263842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2263842000 is about 47579.8486756736. The cubic root of 2263842000 is about 1313.0523389553.

The spelling of 2263842000 in words is "two billion, two hundred sixty-three million, eight hundred forty-two thousand".