1002022560 has 432 divisors, whose sum is σ = 4342639392. Its totient is φ = 208051200.

The previous prime is 1002022559. The next prime is 1002022583. The reversal of 1002022560 is 652202001.

1002022560 is a `hidden beast` number, since 100 + 2 + 0 + 2 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 775515 + ... + 776805.

It is an arithmetic number, because the mean of its divisors is an integer number (10052406).

Almost surely, 2^1002022560 is an apocalyptic number.

1002022560 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 1002022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171319696).

1002022560 is an abundant number, since it is smaller than the sum of its proper divisors (3340616832).

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

1002022560 is a wasteful number, since it uses less digits than its factorization.

1002022560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1002022560 is about 31654.7399294324. The cubic root of 1002022560 is about 1000.6737326490.

Adding to 1002022560 its reverse (652202001), we get a palindrome (1654224561).

The spelling of 1002022560 in words is "one billion, two million, twenty-two thousand, five hundred sixty".