2401012240 has 80 divisors (see below), whose sum is σ = 6167105280. Its totient is φ = 862018560.

The previous prime is 2401012219. The next prime is 2401012259. The reversal of 2401012240 is 422101042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52252 + ... + 86788.

It is an arithmetic number, because the mean of its divisors is an integer number (77088816).

Almost surely, 2^2401012240 is an apocalyptic number.

2401012240 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 2401012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3083552640).

2401012240 is an abundant number, since it is smaller than the sum of its proper divisors (3766093040).

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

2401012240 is a wasteful number, since it uses less digits than its factorization.

2401012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34640 (or 34634 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2401012240 is about 49000.1248978000. The cubic root of 2401012240 is about 1339.0541033768.

Adding to 2401012240 its reverse (422101042), we get a palindrome (2823113282).

The spelling of 2401012240 in words is "two billion, four hundred one million, twelve thousand, two hundred forty".