2401394688 has 560 divisors, whose sum is σ = 9134636544. Its totient is φ = 610467840.

The previous prime is 2401394659. The next prime is 2401394711. The reversal of 2401394688 is 8864931042.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 51093481 + ... + 51093527.

Almost surely, 2^2401394688 is an apocalyptic number.

2401394688 is a gapful number since it is divisible by the number (28) 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 2401394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567318272).

2401394688 is an abundant number, since it is smaller than the sum of its proper divisors (6733241856).

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

2401394688 is an equidigital number, since it uses as much as digits as its factorization.

2401394688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2401394688 is about 49004.0272630730. The cubic root of 2401394688 is about 1339.1251971939.

The spelling of 2401394688 in words is "two billion, four hundred one million, three hundred ninety-four thousand, six hundred eighty-eight".