22742580 has 96 divisors (see below), whose sum is σ = 73430784. Its totient is φ = 5151744.

The previous prime is 22742557. The next prime is 22742611. The reversal of 22742580 is 8524722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72504 + ... + 72816.

It is an arithmetic number, because the mean of its divisors is an integer number (764904).

Almost surely, 2^22742580 is an apocalyptic number.

22742580 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 22742580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36715392).

22742580 is an abundant number, since it is smaller than the sum of its proper divisors (50688204).

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

22742580 is a wasteful number, since it uses less digits than its factorization.

22742580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22742580 is about 4768.9181163027. The cubic root of 22742580 is about 283.3217465465.

The spelling of 22742580 in words is "twenty-two million, seven hundred forty-two thousand, five hundred eighty".