2263798080 has 168 divisors, whose sum is σ = 7896904704. Its totient is φ = 595123200.

The previous prime is 2263798079. The next prime is 2263798091. The reversal of 2263798080 is 808973622.

2263798080 is a `hidden beast` number, since 2 + 2 + 637 + 9 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198945 + ... + 210015.

Almost surely, 2^2263798080 is an apocalyptic number.

2263798080 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 2263798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948452352).

2263798080 is an abundant number, since it is smaller than the sum of its proper divisors (5633106624).

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

2263798080 is a wasteful number, since it uses less digits than its factorization.

2263798080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2263798080 is about 47579.3871335056. The cubic root of 2263798080 is about 1313.0438475454.

The spelling of 2263798080 in words is "two billion, two hundred sixty-three million, seven hundred ninety-eight thousand, eighty".