2409691540 has 48 divisors (see below), whose sum is σ = 5159451024. Its totient is φ = 945100800.

The previous prime is 2409691517. The next prime is 2409691541. The reversal of 2409691540 is 451969042.

2409691540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 588450564 + 1821240976 = 24258^2 + 42676^2 .

It is a super-2 number, since 2×2409691540² = 11613226635895143200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2409691493 and 2409691502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409691541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408210 + ... + 414070.

It is an arithmetic number, because the mean of its divisors is an integer number (107488563).

Almost surely, 2^2409691540 is an apocalyptic number.

2409691540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409691540 is an abundant number, since it is smaller than the sum of its proper divisors (2749759484).

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

2409691540 is a wasteful number, since it uses less digits than its factorization.

2409691540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2409691540 is about 49088.6090656478. The cubic root of 2409691540 is about 1340.6656565027.

The spelling of 2409691540 in words is "two billion, four hundred nine million, six hundred ninety-one thousand, five hundred forty".