2270719440 has 160 divisors (see below), whose sum is σ = 8532489600. Its totient is φ = 550471680.

The previous prime is 2270719433. The next prime is 2270719457. The reversal of 2270719440 is 449170722.

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 = 2270719395 and 2270719404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24025 + ... + 71544.

It is an arithmetic number, because the mean of its divisors is an integer number (53328060).

Almost surely, 2^2270719440 is an apocalyptic number.

2270719440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270719440 is an abundant number, since it is smaller than the sum of its proper divisors (6261770160).

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

2270719440 is a wasteful number, since it uses less digits than its factorization.

2270719440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95602 (or 95590 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2270719440 is about 47652.0664819481. The cubic root of 2270719440 is about 1314.3806574224.

The spelling of 2270719440 in words is "two billion, two hundred seventy million, seven hundred nineteen thousand, four hundred forty".