2401632000 has 432 divisors, whose sum is σ = 8953701120. Its totient is φ = 617472000.

The previous prime is 2401631971. The next prime is 2401632011. The reversal of 2401632000 is 2361042.

It is a happy number.

2401632000 is a `hidden beast` number, since 2 + 401 + 63 + 200 + 0 = 666.

2401632000 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8927866 + ... + 8928134.

It is an arithmetic number, because the mean of its divisors is an integer number (20726160).

Almost surely, 2^2401632000 is an apocalyptic number.

2401632000 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 2401632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476850560).

2401632000 is an abundant number, since it is smaller than the sum of its proper divisors (6552069120).

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

2401632000 is a wasteful number, since it uses less digits than its factorization.

2401632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2401632000 is about 49006.4485552667. The cubic root of 2401632000 is about 1339.1693076731.

Adding to 2401632000 its reverse (2361042), we get a palindrome (2403993042).

The spelling of 2401632000 in words is "two billion, four hundred one million, six hundred thirty-two thousand".