2409501040 has 80 divisors (see below), whose sum is σ = 5795629056. Its totient is φ = 930643200.

The previous prime is 2409500993. The next prime is 2409501043. The reversal of 2409501040 is 401059042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2409501040² = 11611390523522163200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2409500996 and 2409501014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409501043) 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, 1593885 + ... + 1595395.

Almost surely, 2^2409501040 is an apocalyptic number.

2409501040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2409501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897814528).

2409501040 is an abundant number, since it is smaller than the sum of its proper divisors (3386128016).

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

2409501040 is a wasteful number, since it uses less digits than its factorization.

2409501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2409501040 is about 49086.6686586083. The cubic root of 2409501040 is about 1340.6303264568.

The spelling of 2409501040 in words is "two billion, four hundred nine million, five hundred one thousand, forty".