2262160472880 has 2560 divisors, whose sum is σ = 10067835617280. Its totient is φ = 406093824000.

The previous prime is 2262160472879. The next prime is 2262160472947. The reversal of 2262160472880 is 882740612622.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16512120172 + ... + 16512120308.

It is an arithmetic number, because the mean of its divisors is an integer number (3932748288).

Almost surely, 2^{2262160472880} is an apocalyptic number.

2262160472880 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 2262160472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033917808640).

2262160472880 is an abundant number, since it is smaller than the sum of its proper divisors (7805675144400).

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

2262160472880 is a wasteful number, since it uses less digits than its factorization.

2262160472880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2262160472880 in words is "two trillion, two hundred sixty-two billion, one hundred sixty million, four hundred seventy-two thousand, eight hundred eighty".