2410401042 has 72 divisors (see below), whose sum is σ = 6110697996. Its totient is φ = 684661824.

The previous prime is 2410401017. The next prime is 2410401053. The reversal of 2410401042 is 2401040142.

It can be written as a sum of positive squares in 2 ways, for example, as 2113148961 + 297252081 = 45969^2 + 17241^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 144688 + ... + 160484.

Almost surely, 2^2410401042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410401042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055348998).

2410401042 is an abundant number, since it is smaller than the sum of its proper divisors (3700296954).

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

2410401042 is a wasteful number, since it uses less digits than its factorization.

2410401042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15992 (or 15982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2410401042 is about 49095.8352816204. The cubic root of 2410401042 is about 1340.7972240509.

Adding to 2410401042 its reverse (2401040142), we get a palindrome (4811441184).

The spelling of 2410401042 in words is "two billion, four hundred ten million, four hundred one thousand, forty-two".