2275737120 has 240 divisors, whose sum is σ = 8125813080. Its totient is φ = 599740416.

The previous prime is 2275737119. The next prime is 2275737131. The reversal of 2275737120 is 217375722.

It can be written as a sum of positive squares in 4 ways, for example, as 1147583376 + 1128153744 = 33876^2 + 33588^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152454 + ... + 1154426.

Almost surely, 2^2275737120 is an apocalyptic number.

2275737120 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 2275737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062906540).

2275737120 is an abundant number, since it is smaller than the sum of its proper divisors (5850075960).

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

2275737120 is a wasteful number, since it uses less digits than its factorization.

2275737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2275737120 is about 47704.6865622236. The cubic root of 2275737120 is about 1315.3480879124.

The spelling of 2275737120 in words is "two billion, two hundred seventy-five million, seven hundred thirty-seven thousand, one hundred twenty".