2270451456 has 648 divisors, whose sum is σ = 8752816800. Its totient is φ = 563576832.

The previous prime is 2270451427. The next prime is 2270451467. The reversal of 2270451456 is 6541540722.

It is a happy number.

2270451456 is a `hidden beast` number, since 22 + 70 + 4 + 514 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2270451456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133555960 + ... + 133555976.

Almost surely, 2^2270451456 is an apocalyptic number.

2270451456 is a gapful number since it is divisible by the number (26) 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 2270451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376408400).

2270451456 is an abundant number, since it is smaller than the sum of its proper divisors (6482365344).

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

2270451456 is a wasteful number, since it uses less digits than its factorization.

2270451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2270451456 is about 47649.2545167288. The cubic root of 2270451456 is about 1314.3289488703.

The spelling of 2270451456 in words is "two billion, two hundred seventy million, four hundred fifty-one thousand, four hundred fifty-six".