2263728480 has 192 divisors, whose sum is σ = 7722086400. Its totient is φ = 554121216.

The previous prime is 2263728473. The next prime is 2263728491. The reversal of 2263728480 is 848273622.

It is a super-2 number, since 2×2263728480² = 10248933262326220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240849 + ... + 1242671.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^2263728480 is an apocalyptic number.

2263728480 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 2263728480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861043200).

2263728480 is an abundant number, since it is smaller than the sum of its proper divisors (5458357920).

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

2263728480 is a wasteful number, since it uses less digits than its factorization.

2263728480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2263728480 is about 47578.6557187149. The cubic root of 2263728480 is about 1313.0303909877.

The spelling of 2263728480 in words is "two billion, two hundred sixty-three million, seven hundred twenty-eight thousand, four hundred eighty".