20242560 has 128 divisors (see below), whose sum is σ = 69572160. Its totient is φ = 4976640.

The previous prime is 20242559. The next prime is 20242567. The reversal of 20242560 is 6524202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20242560² = 819522470707200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20242567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24555 + ... + 25365.

Almost surely, 2^20242560 is an apocalyptic number.

20242560 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 20242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786080).

20242560 is an abundant number, since it is smaller than the sum of its proper divisors (49329600).

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

20242560 is a wasteful number, since it uses less digits than its factorization.

20242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20242560 is about 4499.1732573885. The cubic root of 20242560 is about 272.5347036575.

Adding to 20242560 its reverse (6524202), we get a palindrome (26766762).

It can be divided in two parts, 20242 and 560, that added together give a palindrome (20802).

The spelling of 20242560 in words is "twenty million, two hundred forty-two thousand, five hundred sixty".