22740480 has 320 divisors, whose sum is σ = 94279680. Its totient is φ = 5087232.

The previous prime is 22740467. The next prime is 22740481. The reversal of 22740480 is 8404722.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22740481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483817 + ... + 483863.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^22740480 is an apocalyptic number.

22740480 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 22740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

22740480 is an abundant number, since it is smaller than the sum of its proper divisors (71539200).

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

22740480 is an equidigital number, since it uses as much as digits as its factorization.

22740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 22740480 is about 4768.6979354956. The cubic root of 22740480 is about 283.3130258417.

It can be divided in two parts, 22740 and 480, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 22740480 in words is "twenty-two million, seven hundred forty thousand, four hundred eighty".