240122880 has 264 divisors, whose sum is σ = 867305712. Its totient is φ = 63700992.

The previous prime is 240122867. The next prime is 240122891. The reversal of 240122880 is 88221042.

240122880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244064 + ... + 1244256.

Almost surely, 2^240122880 is an apocalyptic number.

240122880 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 240122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433652856).

240122880 is an abundant number, since it is smaller than the sum of its proper divisors (627182832).

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

240122880 is an equidigital number, since it uses as much as digits as its factorization.

240122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 240122880 is about 15495.8988122664. The cubic root of 240122880 is about 621.5525432978.

It can be divided in two parts, 2401 and 22880, that added together give a square (25281 = 159²).

The spelling of 240122880 in words is "two hundred forty million, one hundred twenty-two thousand, eight hundred eighty".