2270346408 has 160 divisors (see below), whose sum is σ = 6972039360. Its totient is φ = 684529920.

The previous prime is 2270346371. The next prime is 2270346409. The reversal of 2270346408 is 8046430722.

2270346408 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 3 + 4 + 640 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2270346409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1660141 + ... + 1661507.

It is an arithmetic number, because the mean of its divisors is an integer number (43575246).

Almost surely, 2^2270346408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270346408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486019680).

2270346408 is an abundant number, since it is smaller than the sum of its proper divisors (4701692952).

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

2270346408 is a wasteful number, since it uses less digits than its factorization.

2270346408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2270346408 is about 47648.1521992196. The cubic root of 2270346408 is about 1314.3086783412.

The spelling of 2270346408 in words is "two billion, two hundred seventy million, three hundred forty-six thousand, four hundred eight".