1772226540 has 480 divisors, whose sum is σ = 6981448320. Its totient is φ = 366944256.

The previous prime is 1772226503. The next prime is 1772226551. The reversal of 1772226540 is 456222771.

It is a happy number.

1772226540 is a `hidden beast` number, since 1 + 77 + 22 + 26 + 540 = 666.

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 = 1772226495 and 1772226504.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5590462 + ... + 5590778.

It is an arithmetic number, because the mean of its divisors is an integer number (14544684).

Almost surely, 2^1772226540 is an apocalyptic number.

1772226540 is a gapful number since it is divisible by the number (10) 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 1772226540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490724160).

1772226540 is an abundant number, since it is smaller than the sum of its proper divisors (5209221780).

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

1772226540 is a wasteful number, since it uses less digits than its factorization.

1772226540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1772226540 is about 42097.8210837568. The cubic root of 1772226540 is about 1210.1515052874.

The spelling of 1772226540 in words is "one billion, seven hundred seventy-two million, two hundred twenty-six thousand, five hundred forty".