2409761142 has 48 divisors (see below), whose sum is σ = 5370215760. Its totient is φ = 780480000.

The previous prime is 2409761093. The next prime is 2409761147. The reversal of 2409761142 is 2411679042.

It is a happy number.

It is a super-2 number, since 2×2409761142² = 11613897522986288328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2409761097 and 2409761106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409761147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178734 + ... + 191742.

It is an arithmetic number, because the mean of its divisors is an integer number (111879495).

Almost surely, 2^2409761142 is an apocalyptic number.

2409761142 is an abundant number, since it is smaller than the sum of its proper divisors (2960454618).

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

2409761142 is a wasteful number, since it uses less digits than its factorization.

2409761142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309 (or 13306 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2409761142 is about 49089.3180030035. The cubic root of 2409761142 is about 1340.6785643944.

The spelling of 2409761142 in words is "two billion, four hundred nine million, seven hundred sixty-one thousand, one hundred forty-two".