2275024320 has 336 divisors, whose sum is σ = 8597298528. Its totient is φ = 570654720.

The previous prime is 2275024313. The next prime is 2275024321. The reversal of 2275024320 is 234205722.

2275024320 is a `hidden beast` number, since 227 + 5 + 0 + 2 + 432 + 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 not an unprimeable number, because it can be changed into a prime (2275024321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321060 + ... + 1322780.

It is an arithmetic number, because the mean of its divisors is an integer number (25587198).

Almost surely, 2^2275024320 is an apocalyptic number.

2275024320 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 2275024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298649264).

2275024320 is an abundant number, since it is smaller than the sum of its proper divisors (6322274208).

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

2275024320 is a wasteful number, since it uses less digits than its factorization.

2275024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2275024320 is about 47697.2150130382. The cubic root of 2275024320 is about 1315.2107436919.

The spelling of 2275024320 in words is "two billion, two hundred seventy-five million, twenty-four thousand, three hundred twenty".