2409527142 has 256 divisors, whose sum is σ = 6502809600. Its totient is φ = 653184000.

The previous prime is 2409527117. The next prime is 2409527149. The reversal of 2409527142 is 2417259042.

It is a junction number, because it is equal to n+sod(n) for n = 2409527097 and 2409527106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409527149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24840438 + ... + 24840534.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^2409527142 is an apocalyptic number.

2409527142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409527142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251404800).

2409527142 is an abundant number, since it is smaller than the sum of its proper divisors (4093282458).

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

2409527142 is a wasteful number, since it uses less digits than its factorization.

2409527142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2409527142 is about 49086.9345345582. The cubic root of 2409527142 is about 1340.6351674323.

The spelling of 2409527142 in words is "two billion, four hundred nine million, five hundred twenty-seven thousand, one hundred forty-two".