2406109440 has 144 divisors (see below), whose sum is σ = 8782397568. Its totient is φ = 549961728.

The previous prime is 2406109429. The next prime is 2406109469. The reversal of 2406109440 is 449016042.

It is a super-2 number, since 2×2406109440² = 11578725274514227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2406109398 and 2406109407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17877 + ... + 71636.

It is an arithmetic number, because the mean of its divisors is an integer number (60988872).

Almost surely, 2^2406109440 is an apocalyptic number.

2406109440 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 2406109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391198784).

2406109440 is an abundant number, since it is smaller than the sum of its proper divisors (6376288128).

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

2406109440 is an equidigital number, since it uses as much as digits as its factorization.

2406109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89544 (or 89530 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2406109440 is about 49052.1094347634. The cubic root of 2406109440 is about 1340.0010098752.

The spelling of 2406109440 in words is "two billion, four hundred six million, one hundred nine thousand, four hundred forty".