2401367640 has 256 divisors, whose sum is σ = 8760960000. Its totient is φ = 514031616.

The previous prime is 2401367593. The next prime is 2401367669. The reversal of 2401367640 is 467631042.

It is a happy number.

2401367640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 4812111 + ... + 4812609.

It is an arithmetic number, because the mean of its divisors is an integer number (34222500).

Almost surely, 2^2401367640 is an apocalyptic number.

2401367640 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 2401367640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380480000).

2401367640 is an abundant number, since it is smaller than the sum of its proper divisors (6359592360).

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

2401367640 is a wasteful number, since it uses less digits than its factorization.

2401367640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 2401367640 is about 49003.7512849782. The cubic root of 2401367640 is about 1339.1201694497.

Adding to 2401367640 its reverse (467631042), we get a palindrome (2868998682).

The spelling of 2401367640 in words is "two billion, four hundred one million, three hundred sixty-seven thousand, six hundred forty".