2272555440 has 320 divisors, whose sum is σ = 8199475200. Its totient is φ = 585066240.

The previous prime is 2272555387. The next prime is 2272555469. The reversal of 2272555440 is 445552722.

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 = 2272555395 and 2272555404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5423551 + ... + 5423969.

It is an arithmetic number, because the mean of its divisors is an integer number (25623360).

Almost surely, 2^2272555440 is an apocalyptic number.

2272555440 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 2272555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099737600).

2272555440 is an abundant number, since it is smaller than the sum of its proper divisors (5926919760).

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

2272555440 is an equidigital number, since it uses as much as digits as its factorization.

2272555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The square root of 2272555440 is about 47671.3272313662. The cubic root of 2272555440 is about 1314.7348113724.

The spelling of 2272555440 in words is "two billion, two hundred seventy-two million, five hundred fifty-five thousand, four hundred forty".