2405442540 has 96 divisors (see below), whose sum is σ = 7169347584. Its totient is φ = 600509440.

The previous prime is 2405442499. The next prime is 2405442581. The reversal of 2405442540 is 452445042.

It is an interprime number because it is at equal distance from previous prime (2405442499) and next prime (2405442581).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2405442498 and 2405442507.

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, 188647 + ... + 200993.

It is an arithmetic number, because the mean of its divisors is an integer number (74680704).

Almost surely, 2^2405442540 is an apocalyptic number.

2405442540 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 2405442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584673792).

2405442540 is an abundant number, since it is smaller than the sum of its proper divisors (4763905044).

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

2405442540 is a wasteful number, since it uses less digits than its factorization.

2405442540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2405442540 is about 49045.3110908678. The cubic root of 2405442540 is about 1339.8771959933.

Adding to 2405442540 its reverse (452445042), we get a palindrome (2857887582).

The spelling of 2405442540 in words is "two billion, four hundred five million, four hundred forty-two thousand, five hundred forty".