2406491136 has 297 divisors, whose sum is σ = 8195416281. Its totient is φ = 678150144.

The previous prime is 2406491119. The next prime is 2406491159. The reversal of 2406491136 is 6311946042.

The square root of 2406491136 is 49056.

It is a perfect power (a square), and thus also a powerful number.

2406491136 is a `hidden beast` number, since 2 + 4 + 0 + 649 + 1 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1366041600 + 1040449536 = 36960^2 + 32256^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2406491136.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32965596 + ... + 32965668.

Almost surely, 2^2406491136 is an apocalyptic number.

2406491136 is the 49056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406491136

2406491136 is an abundant number, since it is smaller than the sum of its proper divisors (5788925145).

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

2406491136 is an equidigital number, since it uses as much as digits as its factorization.

2406491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 2406491136 is about 1340.0718636739.

Multiplying 2406491136 by its sum of digits (36), we get a square (86633680896 = 294336²).

2406491136 divided by its sum of digits (36) gives a square (66846976 = 8176²).

The spelling of 2406491136 in words is "two billion, four hundred six million, four hundred ninety-one thousand, one hundred thirty-six".