2401541040 has 160 divisors (see below), whose sum is σ = 8154924480. Its totient is φ = 581926912.

The previous prime is 2401541029. The next prime is 2401541059. The reversal of 2401541040 is 401451042.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2401540998 and 2401541016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108172 + ... + 128468.

It is an arithmetic number, because the mean of its divisors is an integer number (50968278).

Almost surely, 2^2401541040 is an apocalyptic number.

2401541040 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 2401541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077462240).

2401541040 is an abundant number, since it is smaller than the sum of its proper divisors (5753383440).

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

2401541040 is a wasteful number, since it uses less digits than its factorization.

2401541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359 (or 20353 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2401541040 is about 49005.5205053472. The cubic root of 2401541040 is about 1339.1524007839.

Adding to 2401541040 its reverse (401451042), we get a palindrome (2802992082).

The spelling of 2401541040 in words is "two billion, four hundred one million, five hundred forty-one thousand, forty".