2409790464 has 198 divisors, whose sum is σ = 7188801984. Its totient is φ = 777461760.

The previous prime is 2409790451. The next prime is 2409790489. The reversal of 2409790464 is 4640979042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12616609 + ... + 12616799.

Almost surely, 2^2409790464 is an apocalyptic number.

2409790464 is a gapful number since it is divisible by the number (24) 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 2409790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594400992).

2409790464 is an abundant number, since it is smaller than the sum of its proper divisors (4779011520).

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

2409790464 is a wasteful number, since it uses less digits than its factorization.

2409790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2409790464 is about 49089.6166617748. The cubic root of 2409790464 is about 1340.6840021696.

The spelling of 2409790464 in words is "two billion, four hundred nine million, seven hundred ninety thousand, four hundred sixty-four".