2409501072 has 120 divisors (see below), whose sum is σ = 6936799072. Its totient is φ = 720023040.

The previous prime is 2409501043. The next prime is 2409501089. The reversal of 2409501072 is 2701059042.

It is a super-3 number, since 3×2409501072³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421143 + ... + 426825.

Almost surely, 2^2409501072 is an apocalyptic number.

2409501072 is a gapful number since it is divisible by the number (22) 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 2409501072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468399536).

2409501072 is an abundant number, since it is smaller than the sum of its proper divisors (4527298000).

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

2409501072 is a wasteful number, since it uses less digits than its factorization.

2409501072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2409501072 is about 49086.6689845624. The cubic root of 2409501072 is about 1340.6303323917.

The spelling of 2409501072 in words is "two billion, four hundred nine million, five hundred one thousand, seventy-two".