2401039540 has 72 divisors (see below), whose sum is σ = 5473474776. Its totient is φ = 881664000.

The previous prime is 2401039513. The next prime is 2401039541. The reversal of 2401039540 is 459301042.

It can be written as a sum of positive squares in 12 ways, for example, as 2004711076 + 396328464 = 44774^2 + 19908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2401039499 and 2401039508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401039541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 569440 + ... + 573640.

It is an arithmetic number, because the mean of its divisors is an integer number (76020483).

Almost surely, 2^2401039540 is an apocalyptic number.

2401039540 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 2401039540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736737388).

2401039540 is an abundant number, since it is smaller than the sum of its proper divisors (3072435236).

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

2401039540 is a wasteful number, since it uses less digits than its factorization.

2401039540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4309 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2401039540 is about 49000.4034677267. The cubic root of 2401039540 is about 1339.0591784639.

The spelling of 2401039540 in words is "two billion, four hundred one million, thirty-nine thousand, five hundred forty".