2409613272 has 112 divisors (see below), whose sum is σ = 7389947880. Its totient is φ = 730166400.

The previous prime is 2409613237. The next prime is 2409613279. The reversal of 2409613272 is 2723169042.

2409613272 is a `hidden beast` number, since 240 + 96 + 1 + 327 + 2 = 666.

It is a super-2 number, since 2×2409613272² = 11612472241197091968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2409613279) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45372 + ... + 82932.

Almost surely, 2^2409613272 is an apocalyptic number.

2409613272 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 2409613272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694973940).

2409613272 is an abundant number, since it is smaller than the sum of its proper divisors (4980334608).

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

2409613272 is a wasteful number, since it uses less digits than its factorization.

2409613272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37596 (or 37577 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2409613272 is about 49087.8118477489. The cubic root of 2409613272 is about 1340.6511411793.

The spelling of 2409613272 in words is "two billion, four hundred nine million, six hundred thirteen thousand, two hundred seventy-two".