2409449042 has 192 divisors, whose sum is σ = 5251018752. Its totient is φ = 804988800.

The previous prime is 2409449041. The next prime is 2409449087.

2409449042 is nontrivially palindromic in base 10.

2409449042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2409448987 and 2409449005.

It is not an unprimeable number, because it can be changed into a prime (2409449041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33935867 + ... + 33935937.

It is an arithmetic number, because the mean of its divisors is an integer number (27349056).

Almost surely, 2^2409449042 is an apocalyptic number.

2409449042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2409449042 is an abundant number, since it is smaller than the sum of its proper divisors (2841569710).

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

2409449042 is a wasteful number, since it uses less digits than its factorization.

2409449042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 2409449042 is about 49086.1390007403. The cubic root of 2409449042 is about 1340.6206826072.

The spelling of 2409449042 in words is "two billion, four hundred nine million, four hundred forty-nine thousand, forty-two".