2273564160 has 640 divisors, whose sum is σ = 9553674240. Its totient is φ = 501645312.

The previous prime is 2273564143. The next prime is 2273564171. The reversal of 2273564160 is 614653722.

2273564160 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 5 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17902017 + ... + 17902143.

It is an arithmetic number, because the mean of its divisors is an integer number (14927616).

Almost surely, 2^2273564160 is an apocalyptic number.

2273564160 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 2273564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776837120).

2273564160 is an abundant number, since it is smaller than the sum of its proper divisors (7280110080).

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

2273564160 is a wasteful number, since it uses less digits than its factorization.

2273564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2273564160 is about 47681.9060021724. The cubic root of 2273564160 is about 1314.9293065362.

The spelling of 2273564160 in words is "two billion, two hundred seventy-three million, five hundred sixty-four thousand, one hundred sixty".