2270450520 has 512 divisors, whose sum is σ = 8709120000. Its totient is φ = 521883648.

The previous prime is 2270450437. The next prime is 2270450531. The reversal of 2270450520 is 250540722.

2270450520 is a `hidden beast` number, since 22 + 70 + 4 + 50 + 520 = 666.

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 127 ways as a sum of consecutive naturals, for example, 25510636 + ... + 25510724.

It is an arithmetic number, because the mean of its divisors is an integer number (17010000).

Almost surely, 2^2270450520 is an apocalyptic number.

2270450520 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 2270450520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560000).

2270450520 is an abundant number, since it is smaller than the sum of its proper divisors (6438669480).

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

2270450520 is a wasteful number, since it uses less digits than its factorization.

2270450520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2270450520 is about 47649.2446949582. The cubic root of 2270450520 is about 1314.3287682583.

The spelling of 2270450520 in words is "two billion, two hundred seventy million, four hundred fifty thousand, five hundred twenty".