2401659360 has 432 divisors, whose sum is σ = 9051588000. Its totient is φ = 579059712.

The previous prime is 2401659353. The next prime is 2401659361. The reversal of 2401659360 is 639561042.

It is a happy number.

2401659360 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 6 + 593 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401659361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12068541 + ... + 12068739.

It is an arithmetic number, because the mean of its divisors is an integer number (20952750).

Almost surely, 2^2401659360 is an apocalyptic number.

2401659360 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 2401659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525794000).

2401659360 is an abundant number, since it is smaller than the sum of its proper divisors (6649928640).

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

2401659360 is a wasteful number, since it uses less digits than its factorization.

2401659360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2401659360 is about 49006.7277014085. The cubic root of 2401659360 is about 1339.1743930391.

The spelling of 2401659360 in words is "two billion, four hundred one million, six hundred fifty-nine thousand, three hundred sixty".