2401000032 has 96 divisors (see below), whose sum is σ = 6711465600. Its totient is φ = 748955648.

The previous prime is 2401000031. The next prime is 2401000051. The reversal of 2401000032 is 2300001042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 2400999981 and 2401000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401000031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288019 + ... + 296237.

It is an arithmetic number, because the mean of its divisors is an integer number (69911100).

Almost surely, 2^2401000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2401000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355732800).

2401000032 is an abundant number, since it is smaller than the sum of its proper divisors (4310465568).

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

2401000032 is a wasteful number, since it uses less digits than its factorization.

2401000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2401000032 is about 49000.0003265306. Note that the first 3 decimals coincide. The cubic root of 2401000032 is about 1339.0518338895.

Adding to 2401000032 its reverse (2300001042), we get a palindrome (4701001074).

The spelling of 2401000032 in words is "two billion, four hundred one million, thirty-two", and thus it is an aban number.