2401941960 has 288 divisors, whose sum is σ = 8719139520. Its totient is φ = 572901120.

The previous prime is 2401941931. The next prime is 2401941961. The reversal of 2401941960 is 691491042.

It is a happy number.

2401941960 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 (36).

It is not an unprimeable number, because it can be changed into a prime (2401941961) 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, 2918109 + ... + 2918931.

It is an arithmetic number, because the mean of its divisors is an integer number (30274790).

Almost surely, 2^2401941960 is an apocalyptic number.

2401941960 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 2401941960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359569760).

2401941960 is an abundant number, since it is smaller than the sum of its proper divisors (6317197560).

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

2401941960 is a wasteful number, since it uses less digits than its factorization.

2401941960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2401941960 is about 49009.6108941909. The cubic root of 2401941960 is about 1339.2269172572.

The spelling of 2401941960 in words is "two billion, four hundred one million, nine hundred forty-one thousand, nine hundred sixty".