2401122002240 has 224 divisors, whose sum is σ = 6523220420640. Its totient is φ = 833966309376.

The previous prime is 2401122002233. The next prime is 2401122002243. The reversal of 2401122002240 is 422002211042.

It can be written as a sum of positive squares in 16 ways, for example, as 91281328384 + 2309840673856 = 302128^2 + 1519816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401122002243) 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, 147725954 + ... + 147742206.

It is an arithmetic number, because the mean of its divisors is an integer number (29121519735).

Almost surely, 2^{2401122002240} is an apocalyptic number.

2401122002240 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 2401122002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261610210320).

2401122002240 is an abundant number, since it is smaller than the sum of its proper divisors (4122098418400).

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

2401122002240 is a wasteful number, since it uses less digits than its factorization.

2401122002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18379 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2401122002240 its reverse (422002211042), we get a palindrome (2823124213282).

The spelling of 2401122002240 in words is "two trillion, four hundred one billion, one hundred twenty-two million, two thousand, two hundred forty".