2262005760 has 384 divisors, whose sum is σ = 8447362560. Its totient is φ = 506068992.

The previous prime is 2262005749. The next prime is 2262005761. The reversal of 2262005760 is 675002622.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262005761) 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, 14407602 + ... + 14407758.

It is an arithmetic number, because the mean of its divisors is an integer number (21998340).

Almost surely, 2^2262005760 is an apocalyptic number.

2262005760 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 2262005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223681280).

2262005760 is an abundant number, since it is smaller than the sum of its proper divisors (6185356800).

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

2262005760 is a wasteful number, since it uses less digits than its factorization.

2262005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2262005760 is about 47560.5483568051. The cubic root of 2262005760 is about 1312.6972300432.

The spelling of 2262005760 in words is "two billion, two hundred sixty-two million, five thousand, seven hundred sixty".