2270661120 has 960 divisors, whose sum is σ = 10476829440. Its totient is φ = 453869568.

The previous prime is 2270661119. The next prime is 2270661143. The reversal of 2270661120 is 211660722.

2270661120 is a `hidden beast` number, since 2 + 27 + 0 + 6 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119508471 + ... + 119508489.

It is an arithmetic number, because the mean of its divisors is an integer number (10913364).

Almost surely, 2^2270661120 is an apocalyptic number.

2270661120 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 2270661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238414720).

2270661120 is an abundant number, since it is smaller than the sum of its proper divisors (8206168320).

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

2270661120 is a wasteful number, since it uses less digits than its factorization.

2270661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2270661120 is about 47651.4545423327. The cubic root of 2270661120 is about 1314.3694046986.

The spelling of 2270661120 in words is "two billion, two hundred seventy million, six hundred sixty-one thousand, one hundred twenty".