2274128640 has 216 divisors, whose sum is σ = 8992602528. Its totient is φ = 519782400.

The previous prime is 2274128629. The next prime is 2274128653. The reversal of 2274128640 is 468214722.

2274128640 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 1 + 2 + 8 + 640 = 666.

It is a super-2 number, since 2×2274128640² = 10343322142536499200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2274128595 and 2274128604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66540 + ... + 94740.

Almost surely, 2^2274128640 is an apocalyptic number.

2274128640 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 2274128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496301264).

2274128640 is an abundant number, since it is smaller than the sum of its proper divisors (6718473888).

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

2274128640 is a wasteful number, since it uses less digits than its factorization.

2274128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28235 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2274128640 is about 47687.8248612788. The cubic root of 2274128640 is about 1315.0381209823.

The spelling of 2274128640 in words is "two billion, two hundred seventy-four million, one hundred twenty-eight thousand, six hundred forty".