2263158720 has 168 divisors, whose sum is σ = 8035747200. Its totient is φ = 584017920.

The previous prime is 2263158691. The next prime is 2263158727. The reversal of 2263158720 is 278513622.

2263158720 is a `hidden beast` number, since 2 + 26 + 31 + 587 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263158727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76606 + ... + 101954.

Almost surely, 2^2263158720 is an apocalyptic number.

2263158720 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 2263158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017873600).

2263158720 is an abundant number, since it is smaller than the sum of its proper divisors (5772588480).

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

2263158720 is a wasteful number, since it uses less digits than its factorization.

2263158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25403 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2263158720 is about 47572.6677830874. The cubic root of 2263158720 is about 1312.9202224500.

The spelling of 2263158720 in words is "two billion, two hundred sixty-three million, one hundred fifty-eight thousand, seven hundred twenty".