2275464960 has 360 divisors, whose sum is σ = 8627650416. Its totient is φ = 570654720.

The previous prime is 2275464949. The next prime is 2275464967. The reversal of 2275464960 is 694645722.

2275464960 is a `hidden beast` number, since 2 + 2 + 7 + 546 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2275464967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1761915 + ... + 1763205.

Almost surely, 2^2275464960 is an apocalyptic number.

2275464960 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 2275464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313825208).

2275464960 is an abundant number, since it is smaller than the sum of its proper divisors (6352185456).

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

2275464960 is a wasteful number, since it uses less digits than its factorization.

2275464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2275464960 is about 47701.8339270096. The cubic root of 2275464960 is about 1315.2956507769.

The spelling of 2275464960 in words is "two billion, two hundred seventy-five million, four hundred sixty-four thousand, nine hundred sixty".