2275952640 has 384 divisors, whose sum is σ = 8090409600. Its totient is φ = 542638080.

The previous prime is 2275952617. The next prime is 2275952647. The reversal of 2275952640 is 462595722.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 2275952592 and 2275952601.

It is not an unprimeable number, because it can be changed into a prime (2275952647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16373691 + ... + 16373829.

It is an arithmetic number, because the mean of its divisors is an integer number (21068775).

Almost surely, 2^2275952640 is an apocalyptic number.

2275952640 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 2275952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045204800).

2275952640 is an abundant number, since it is smaller than the sum of its proper divisors (5814456960).

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

2275952640 is a wasteful number, since it uses less digits than its factorization.

2275952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2275952640 is about 47706.9454063033. The cubic root of 2275952640 is about 1315.3896092389.

The spelling of 2275952640 in words is "two billion, two hundred seventy-five million, nine hundred fifty-two thousand, six hundred forty".