2290217600160 has 480 divisors, whose sum is σ = 9251183031552. Its totient is φ = 522686545920.

The previous prime is 2290217600129. The next prime is 2290217600191. The reversal of 2290217600160 is 610067120922.

2290217600160 is a `hidden beast` number, since 2 + 29 + 0 + 2 + 17 + 600 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2290217600129) and next prime (2290217600191).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61035805 + ... + 61073315.

Almost surely, 2^{2290217600160} is an apocalyptic number.

2290217600160 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 2290217600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625591515776).

2290217600160 is an abundant number, since it is smaller than the sum of its proper divisors (6960965431392).

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

2290217600160 is a wasteful number, since it uses less digits than its factorization.

2290217600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38218 (or 38201 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2290217600160 in words is "two trillion, two hundred ninety billion, two hundred seventeen million, six hundred thousand, one hundred sixty".