2263415280 has 320 divisors, whose sum is σ = 8810864640. Its totient is φ = 468661248.

The previous prime is 2263415279. The next prime is 2263415281. The reversal of 2263415280 is 825143622.

It is an interprime number because it is at equal distance from previous prime (2263415279) and next prime (2263415281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263415281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 732619 + ... + 735701.

It is an arithmetic number, because the mean of its divisors is an integer number (27533952).

Almost surely, 2^2263415280 is an apocalyptic number.

2263415280 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 2263415280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405432320).

2263415280 is an abundant number, since it is smaller than the sum of its proper divisors (6547449360).

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

2263415280 is a wasteful number, since it uses less digits than its factorization.

2263415280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2263415280 is about 47575.3642130042. The cubic root of 2263415280 is about 1312.9698330645.

The spelling of 2263415280 in words is "two billion, two hundred sixty-three million, four hundred fifteen thousand, two hundred eighty".