2401868160 has 256 divisors, whose sum is σ = 8801784000. Its totient is φ = 618283008.

The previous prime is 2401868149. The next prime is 2401868177. The reversal of 2401868160 is 618681042.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498724 + ... + 503516.

Almost surely, 2^2401868160 is an apocalyptic number.

2401868160 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 2401868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400892000).

2401868160 is an abundant number, since it is smaller than the sum of its proper divisors (6399915840).

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

2401868160 is a wasteful number, since it uses less digits than its factorization.

2401868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2401868160 is about 49008.8579748600. The cubic root of 2401868160 is about 1339.2132011391.

The spelling of 2401868160 in words is "two billion, four hundred one million, eight hundred sixty-eight thousand, one hundred sixty".