2401235222240 has 384 divisors, whose sum is σ = 6396565593600. Its totient is φ = 847512207360.

The previous prime is 2401235222233. The next prime is 2401235222279. The reversal of 2401235222240 is 422225321042.

It is a happy number.

2401235222240 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 (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380119562 + ... + 380125878.

It is an arithmetic number, because the mean of its divisors is an integer number (16657722900).

Almost surely, 2^{2401235222240} is an apocalyptic number.

2401235222240 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 2401235222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198282796800).

2401235222240 is an abundant number, since it is smaller than the sum of its proper divisors (3995330371360).

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

2401235222240 is a wasteful number, since it uses less digits than its factorization.

2401235222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The spelling of 2401235222240 in words is "two trillion, four hundred one billion, two hundred thirty-five million, two hundred twenty-two thousand, two hundred forty".